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MATH 111 Course Overview
College Algebra
467
Mathematics
03/06/2012

Term
 For a quadratic function (i.e. f(x)=3x^2-4x+7), to determine the vertex by calculator you must _________________.
Definition
 use the 'maximum' function (when the parabola is opening down) or the 'minimum' function (when the parabola is opening up) - both of these are found in the 'calc' menu
Term
 T/F: A situation involving 'direct variation' is one in which the 2 variables, x and y, both increase and decrease together.
Definition
 True (i.e. as speed increases, number of speeding tickets increases)
Term
 T/F: A situation involving 'inverse variation' is one in which the 2 variables, x and y, both increase and decrease together.
Definition
 False, inverse variation is when x increases, y decreases and visa versa (i.e. The more time and money I spend working on my car, the less time I will spend stranded somewhere)
Term
 The restrictions on the equation are 3/x=8/(x+3) are ____.
Definition
 0 and -3
Term
 The main concept of Inverse Functions is that when comparing a function and its inverse, all x- and y- information is _______.
Definition
 swapped
Term
 If you're given a sequence of numbers (i.e. 1,1,2,3,5,8,...) and asked to form an input-output table, the inputs will be ______.
Definition
 the natural numbers (1,2,3,4,5,6,...)
Term
 log(x/y)=_____.
Definition
 log(x)-log(y)
Term
 log(3x^4)=______
Definition
 log(3)+4log(x)
Term
 The 'initial value' of a function is the function's _______.
Definition
 y-intercept (when x = 0)
Term
 When solving an equation for x, you can ALWAYS __________.
Definition
 set the left side of the equation to y1, set the right side of the equation to y2, and see where they intersect!
Term
 The units for the slope of a function are always the ______ divided by the ______.
Definition
 units for y; units for x (i.e., if x is time measured in hours and y is distance measured in miles, then the units of slope will me 'miles/hour'.)
Term
 To find the slope of a line that passes through 2 given points, we would use the formula ________.
Definition
 (y2-y1)/(x2-x1)
Term
 To write P in terms of Q means to solve for ____.
Definition
 P
Term
 If a quadratic function opened down (vertex is a maximum point) and the vertex is (3,4), then the range would be_______.
Definition
 y less than or equal to 4.
Term
 Solution to a system of equations
Definition
 The pair of x- and y-coordinates that satisfy both equations
Term
 The Substitution Method willalways/never/sometimeswork for solving a system of equations.
Definition
 Always
Term
 The Graphing Method willalways/never/sometimeswork for solving a system of equations.
Definition
 Always
Term
 When factoring trinomials, the first method to try is ______. After doing that, the next method to try is the ________.
Definition
 GCF; Box Method
Term
 On you calculator, when a number has the E (i.e. 8.9456234E6), your calculator is providing an answer in _________ notation.
Definition
 scientific
Term
 For a parabola, the range always begins at the ______.
Definition
 y-coordinate of the vertex
Term
 PLANE
Definition
 A flat, two-dimensional surface extending forever in all dimensions (kind of like a super-huge piece of paper that goes on forever)
Term
 On the TI calculator, to access the table press _______.
Definition
 Second and then Graph
Term
 If the y-intercept of a line is -4 and the slope of the line is 6, the equation of the line is _____.
Definition
 y=6x-4 OR y=-4+6x
Term
 For the equation y=4x+10, the slope can be written as a fraction. In that case it would be _____.
Definition
 4/1
Term
 T/F: Similar triangles have angles that are the same size.
Definition
 True
Term
 MEDIAN
Definition
 The middle number in a set of ordered numbers
Term
 FACTOR (n.)
Definition
 Things that are multiplied together (i.e. In the term 4yz, 4, y, and z are the three factors of the term)
Term
 T/F: Division by 0 is okay.
Definition
 FALSE (i.e. 4/0, -6/0)
Term
 When subtracting 2 numbers that have the same sign, the answer will be positive always/never/sometimes.
Definition
 Sometimes (i.e. 3-2=+1 but -3-(-2)=-1
Term
 T/F: The following terms are NOT like terms.3xyz, -2.5yzx
Definition
 False, they have the same variables
Term
 PER means _____.
Definition
 Divide
Term
 PERIMETER
Definition
 The sum of all sides (i.e. the distance around an object or shape)
Term
 AREA
Definition
 How much space there is on a surface (i.e. how much space on a wall or on a table)
Term
 MEAN
Definition
 The average of a set of numbers.
Term
 Calculate the MEAN
Definition
 Add up all numbers in the problem and divide by how many you added together
Term
 Calculate the MEDIAN
Definition
 Put the numbers in order and if there's an odd number of numbers, the middle number is the median. Otherwise, take the two numbers that are in the middle and find their mean.
Term
 LIKE TERMS
Definition
 Terms that have the EXACT same collection of variables
Term
 LCD
Definition
 Least Common Denominator (the LCM of the denominators)
Term
 LCM
Definition
 Least Common Multiple
Term
 Coefficient
Definition
 The number that is multiplied by a variable (i.e. 3 is the coefficient of 3x)
Term
 RECIPROCAL
Definition
 The result of flipping a fraction (i.e. the reciprocal of 2/3 is 3/2)
Term
 TERM (MONOMIAL)
Definition
 A collections of numbers and/or variables that are multiplied together (i.e. 3x + 4yz, 3x and 4yz are separate terms)
Term
 MONOMIAL
Definition
 A single term (i.e., 3x, 4y, 8qw)
Term
 BINOMIAL
Definition
 Two terms (i.e. 4x+7y, -9h+6R)
Term
 TRINOMIAL
Definition
 Three terms (i.e. -3D-5J+4, 2x+3y+6L)
Term
 T/F: 0 divided by anything is 0.
Definition
 TRUE (i.e. 0/3, 0/(-8))
Term
 When dividing by a fraction you must ________.
Definition
 First flip the second fraction (get its reciprocal) and then change the division to multiplication.
Term
 ORDER OF OPERATIONS
Definition
Term
 In simplifying an expression, you always do it from ______ to ______.
Definition
 Left, Right
Term
 EXPRESSION
Definition
 Something WITHOUT an equal sign
Term
 EQUATION
Definition
 Something WITH an equal sign
Term
 When multiplying 2 numbers that have the same sign (both positive OR both negative) the answer will be _______.
Definition
 Positive
Term
 When multiplying 2 numbers that have different signs (one positive and one negative) the answer will be _______.
Definition
 Negative
Term
 When dividing 2 numbers that have the same sign (both positive OR both negative) the answer will be _______.
Definition
 Positive
Term
 When dividing 2 numbers that have different signs (one positive and one negative) the answer will be _______.
Definition
 Negative
Term
 When adding 2 numbers that have the same sign, the answer will be positive always/never/sometimes.
Definition
 Sometimes (i.e.3+6=+9 but -3+(-6)=-9)
Term
 T/F: -9+(-5)=-4
Definition
Term
 T/F: -13-28=15 or -15
Definition
Term
 T/F: The square root of -16 has no real number solution
Definition
 True, negative numbers do not have real number square roots
Term
 How many terms are in the expression?-2x+3y-4xyz
Definition
 3, Remember that addition and subtraction separate terms.
Term
 NUMERATOR
Definition
 The top of a fraction
Term
 DENOMINATOR
Definition
 The bottom of a fraction
Term
 Before you cancel a factor out of the top and the bottom of an algebraic expression, you must first be able to _________.
Definition
 FACTOR out of the top and the bottom whatever it is you wish to cancel.
Term
 When dividing by a fraction you must _________ the ________ fraction.
Definition
 Flip (get the reciprocal), Second
Term
 The only time you can cancel a factor between a pair of fractions is when the two fractions are being ___________.
Definition
 Multiplied
Term
 DEGREE OF A TERM (Monomial)
Definition
 The sum of the exponents on the variables (i.e. -4xyz has degree 3, 15xQ^5 has degree 6)
Term
 DEGREE OF A POLYNOMIAL
Definition
 Find the degree of each term and whichever one is the biggest is the degree of the entire polynomial.
Term
 When you add or subtract, you must have _________.
Definition
 Like Terms
Term
 When you add or subtract fractions, you must have ___________.
Definition
 Common denominators AND like terms
Term
 T/F: The sign in front of a number (just to the left of it) stays with that number.
Definition
 True
Term
 PRIME NUMBER
Definition
 A number that can only be divided by 1 and itself.
Term
 COMPOSITE NUMBER
Definition
 A number that can be divided by at least 1 other integer besides 1 and itself
Term
 INTEGER
Definition
 A number in the following set:...,-3,-2,-1,0,1,2,3,...
Term
 GCF
Definition
 Greatest Common Factor
Term
 GREATEST COMMON FACTOR
Definition
 The largest integer that divides into both numbers (i.e. The GCF of 16 and 24 is 8)
Term
 LEAST COMMON MULTIPLE
Definition
 The smallest integer that both numbers divide into (i.e. The LCM of 6 and 16 is 32)
Term
 VOLUME
Definition
 How much room there is inside of something (i.e. inside a box or a freezer)
Term
 When plugging a number into an expression, it's a good idea to put ________ around the number.
Definition
 Parentheses
Term
 LINEAR EXPRESSION
Definition
 An expression whose highest power of x is 1
Term
 "Twenty less than a number" translates into___________.
Definition
 x-20 (NOTE: The answer is NOT 20-x)
Term
 COMPLIMENTARY ANGLES
Definition
 Angles that add up to 90 degrees
Term
 SUPPLEMENTARY ANGLES
Definition
 Angles that add up to 180 degrees
Term
 The angles of a triangle always add up to _______.
Definition
 180 degrees
Term
 When doing operations on mixed numbers it is a good idea to first _________.
Definition
 Convert all mixed numbers to improper fractions
Term
 T/F: When evaluating the square root of a fraction you MUST first rewrite the problem as the square root of the numerator divided by the square root of the denominator.
Definition
 False, you can do that but you don't have to
Term
 To find the horizontal asymptote of a function, you must first compare the ______ of the numerator with the ______ of the denominator.
Definition
 Degree, Degree
Term
 To find the vertical asymptotes of a function, you must ____________.
Definition
 Set the denominator to zero and solve.
Term
 ORIGIN
Definition
 Where the x-axis and y-axis intersect
Term
 The coordinates of the origin are _____.
Definition
 (0,0)
Term
 FUNCTION
Definition
 A rule wherein x-values are NOT repeated (used more than once)
Term
 DOMAIN
Definition
 All the numbers that when plugged into a function for x, yield an answer
Term
 RANGE
Definition
 All the y-values that a function uses
Term
 X-INTERCEPT
Definition
 Where the graph of a function intersects (touches) the x-axis.
Term
 To find the x-intercept of a function you must _________.
Definition
 set y = 0 and then solve
Term
 Y-INTERCEPT
Definition
 Where the graph of a function intersects (touches) the y-axis.
Term
 To find the y-intercept of a function you must _________.
Definition
 set x = 0 and then solve
Term
 Why do I set x=0 to find the y-intercept of a function?
Definition
 Because y-intercepts are on the y-axis and every point on the y-axis has an x-coordinate = 0
Term
 Why do I set y=0 to find the x-intercepts of a function?
Definition
 Because x-intercepts are on the x-axis and every point on the x-axis has a y-coordinate = 0
Term
 ACUTE ANGLE
Definition
 Angle that is less than 90 degrees
Term
 OBTUSE ANGLE
Definition
 Angle that is more than 90 degrees
Term
 RIGHT ANGLE
Definition
 A 90 degree angle (i.e. like the angle formed where the wall and the floor meet)
Term
 POINT
Definition
 A single dot on a graph
Term
 LINE
Definition
 A straight, one-dimensional figure extending forever in BOTH directions
Term
 RAY
Definition
 A straight, one-dimensional figure extending forever in one direction from a single point; in other words, half a line
Term
 PARALLEL LINES
Definition
 Lines that never touch
Term
 CONGRUENT ANGLES
Definition
 Angles that have the same measure (are equal)
Term
 PERPENDICULAR LINES
Definition
 Lines that meet at a right angle (like the crossbeams of a standard kite)
Term
 RIGHT TRIANGLE
Definition
 A triangle with ONE right angle
Term
 ACUTE TRIANGLE
Definition
 A triangle with THREE acute angles
Term
 OBTUSE TRIANGLE
Definition
 A triangle with ONE obtuse angle
Term
 EQUILATERAL TRIANGLE
Definition
 A triangle with all sides equal and all angles equal (in this case the angles will all be 60 degrees)
Term
 On the coordinate plane, the first quadrant is found in the ________corner.
Definition
 Upper Right
Term
 On the coordinate plane, the second quadrant is found in the ________corner.
Definition
 Upper Left
Term
 On the coordinate plane, the third quadrant is found in the ________corner.
Definition
 Lower Left
Term
 On the coordinate plane, the fourth quadrant is found in the ________corner.
Definition
 Lower right
Term
 When converting a fraction to a decimal, divide the _______ by the ________.
Definition
 Numerator, Denominator
Term
 To compare fractions to see which one is bigger you can either _______ or _______.
Definition
 Get common denominators, Convert both fractions to decimals
Term
 To change a percent to a decimal, you must move the decimal point ______.
Definition
 To the left 2 places
Term
 To change a decimal to a percent, you must move the decimal point ______.
Definition
 To the right 2 places
Term
 To enter a function into the calculator you must press the button labeled _____.
Definition
 Y=
Term
 (3,0) is a ___-intercept.
Definition
 X
Term
 (-7,0) is a ___-intercept
Definition
 X
Term
 (0,5) is a ___-intercept
Definition
 Y
Term
 (0,-8) is a ___-intercept
Definition
 Y
Term
 For a linear equation, when Y is by itself, we say that the equation is in __________ form.
Definition
 Slope-intercept
Term
 For a linear equation, when Y is by itself, we say that the equation is in __________ form.
Definition
 Slope-intercept
Term
 In a linear equation, when Y is by itself, the slope is ALWAYS the number _________ by x.
Definition
 Multiplied
Term
 In a linear equation, when Y is by itself, the Y-intercept is ALWAYS the number _________ to x.
Definition
Term
 A handy way to remember slope is _______ over _______.
Definition
 Rise, Run
Term
 When we say "slope is rise over run" the 'rise' means the difference in the __________ from one point to another.
Definition
 Y-values
Term
 When we say "slope is rise over run" the 'run' means the difference in the __________ from one point to another.
Definition
 X-Values
Term
 T/F: In the expression -7-9, the two negatives can both be changed to positives.
Definition
 False, in order to be able to change them both to positives, they have to be right next to each other.
Term
 T/F: In the expression -(-9), the two negatives can both be changed to positives.
Definition
 True
Term
 T/F: If a fraction is negative, it doesn't matter if the negative is applied to the NUMERATOR or the DENOMINATOR or in front of the fraction.
Definition
 True
Term
 INPUT
Definition
 What you plug into a function for x
Term
 OUTPUT
Definition
 The result after you plug in a number for x into a function
Term
 X-AXIS
Definition
 The horizontal axis of a graph
Term
 Y-AXIS
Definition
 The vertical axis of a graph
Term
Definition
 TRUE (i.e. 3+2=2+3)
Term
 T/F: Subtraction is commutative
Definition
 False (i.e. 2-3 does not equal 3-2)
Term
 T/F: Multiplication is commutative
Definition
 True (i.e. 3*2=2*3)
Term
 T/F: Division is commutative
Definition
 False (i.e. 2/3 does not equal 3/2)
Term
 If a variable does not appear to be multiplied by a number, then its coefficient is ____.
Definition
 1
Term
 When multiplying 2 things together, you may add their exponents only when _________.
Definition
 The bases of the exponents are the same (i.e. x^2*x^3=x^5)
Term
 The only time you ever multiply 2 exponents by each other is when ______.
Definition
 One exponent is raised to the power of another (i.e. (x^2)^3=x^6)
Term
 Cubic inches are used for measuring ________.
Definition
 Volume
Term
 Cubic feet are used for measuring ________.
Definition
 Volume
Term
 Cubic meters are used for measuring ________.
Definition
 Volume
Term
 Square inches are used for measuring ________.
Definition
 Area
Term
 Square feet are used for measuring ________.
Definition
 Area
Term
 Square meters are used for measuring ________.
Definition
 Area
Term
 Another way to write 3
Definition
 (3,7)
Term
 Another way to write -4<=x<9 is____.
Definition
 [-4,9)
Term
 Another way to write x>8 is ______.
Definition
 (8,infinity)
Term
 If the equation for renting a jackhammer is y=35x+50, the 50 probably means ________.
Definition
 The initial rental fee (up front).
Term
 If the equation for renting a jackhammer is y=35x+50, the 35 probably means ________.
Definition
 The hourly cost
Term
 If an equation begins as:3x-11=7and changes to become:3x=18,what happened?
Definition
 Eleven was added to both sides
Term
 After solving an equation for the given variable, a way to check your work is to ____________.
Definition
 Plug your solution into the ORIGINAL problem for the variable and make sure both sides of the equation are equal.
Term
 If you have a function f(x)=3x-7, then f(5) means _______.
Definition
 The y-value that is paired up with the x-value, 5.
Term
 If you have a function g(x)=8-6x, then g(-3) means _______.
Definition
 The y-value that is paired up with the x-value, -3.
Term
 On the TI calculator, to access the graph press _______.
Definition
 Graph
Term
 On the TI calculator, to access the table setup screen, press _______.
Definition
 Second and then Window
Term
 On the Table Setup screen on the TI calculator, the first number tells you _______.
Definition
 What will be the first x-value displayed on your Table
Term
 On the Table Setup screen on the TI calculator, the second number tells you _______.
Definition
 What your x-values will increase by on the Table
Term
 The best way to solve 3x-8=4 is to first move the ____ to the other side of the equation then move the _____.
Definition
 8, 3
Term
 When you see the phrase "in terms of", the variable that comes directly before the phrase is the ________ variable.
Definition
 Dependent
Term
 When you see the phrase "in terms of", the variable that comes directly after the phrase is the ________ variable.
Definition
 Independent
Term
 To solve the equation:PV=nRT for the variable R, you would need to ________ both sides of the equation by _____.
Definition
 Divide, nT
Term
 To solve the equation:A=3r^2for the variable r, you would need to ________ both sides of the equation by _____ and then ______ of both sides.
Definition
 Divide, 3, take the square root
Term
 If a relation passes the Vertical Line Test, ________.
Definition
 It is a function
Term
 If a relation doesn't pass the Vertical Line Test, ________.
Definition
 It is not a function
Term
 If a relation uses a value for x more than once, ________.
Definition
 It is not a function
Term
 If a relation uses a value for y more than once, it ____ a function.
Definition
 May or may not be a function (how often the y-values get uses has no bearing on whether or not it is a function-only if you use an x-value more than once)
Term
 T/F: The relation(1,6),(2,6),(3,6),(4,6)is a function.
Definition
 True
Term
 T/F: The relation(6,1),(6,2),(6,3),(6,4)is a function.
Definition
 False
Term
 Like a book, graphs are read from _____ to _____.
Definition
 Left, Right
Term
 If the graph of a line goes down, from left to right, it has a ____ slope.
Definition
 Negative
Term
 If the graph of a line goes up, from left to right, it has a ____ slope.
Definition
 Positive
Term
 If the graph of a line is flat (horizontal), from left to right, it has a ____ slope.
Definition
 0
Term
 X-intercepts of functions are found by setting ____ equal to _____ and then solving.
Definition
 Y,0
Term
 Y-intercepts of functions are found by setting ____ equal to _____ and then solving.
Definition
 X,0
Term
 When the equation of a line is in slope-intercept form, the number multiplied by X is the ____.
Definition
 Slope
Term
 When the equation of a line is in slope-intercept form, the number added to X is the ____.
Definition
 Y-intercept
Term
 Slope is represented by the variable ____.
Definition
 M
Term
 Y-intercepts are represented by the variable ___.
Definition
 B
Term
 When the equation of a line is in slope-intercept form, _______.
Definition
 Y is by itself/isolated.
Term
 The slope of the equation y=3x-9 is ____.
Definition
 3
Term
 The y-intercept of the equation y=3x-9 is ____.
Definition
 -9
Term
 The slope of the equation y=3-9x is ____.
Definition
 -9
Term
 The y-intercept of the equation y=3-9x is ____.
Definition
 3
Term
 Two lines are parallel if their slopes are _____ AND if their y-intercepts are _____.
Definition
 Equal, Different
Term
 Two lines are perpendicular if their slopes _____.
Definition
 Multiply to -1
Term
 A 'proportion' is ________.
Definition
 A single fraction equal to a single fraction (i.e. 3/x = 2/5)
Term
 There are _____ centimeters in a meter.
Definition
 100
Term
 There are _____ meters in a kilometer.
Definition
 1000
Term
 There are _____ millimeters in a centimeter.
Definition
 10
Term
 There are about _____ centimeters in an inch.
Definition
 2.5
Term
 T/F: Similar triangles have sides that are the same lengths.
Definition
 False, (rather they are proportional to each other)
Term
 Solution to a system of equations
Definition
 The point(s) at which the graphs of the 2 equations intersect
Term
 Solution to a system of equations
Definition
 The x- and y-coordinates that satisfy both equations
Term
 Parallel Lines
Definition
 Equations that have the SAME slope and DIFFERENT y-intercepts
Term
 Coincident Lines
Definition
 Equations that are the same (more easily viewed when you solve for y in both equations)
Term
 Coincident Equations have ______ solutions.
Definition
 infinitely many
Term
 In solving a word problem, always set the variable equal to __________.
Definition
 whatever you're asked to solve for
Term
 The first step of the Substitution Method for solving a system of equations is to __________.
Definition
 isolate either of the variables in either equation
Term
 Choose One of the Three Choices.The Elimination Method willalways/never/sometimeswork for solving a system of equations.
Definition
 Always
Term
 Choose One of the Three Choices.The Graphing Method willalways/never/sometimeswork for solving a system of equations.
Definition
 Always
Term
 When solving a system of equations using the Elimination Method, you must always first make certain that both equations ____________.
Definition
 have all terms lined up (i.e. x-terms above x-terms, y-terms above y-terms, etc.)
Term
 When graphing linear inequalities, use a dotted line when there is ___________.
Definition
 a "less than" or "greater than" sign
Term
 When graphing linear inequalities, use a solid line when there is ___________.
Definition
 a "less than or equal to" or "greater than or equal to" sign
Term
 When a linear inequality is of the form y
Definition
 below
Term
 When a linear inequality is of the form y>mx+b, shade ________ the line.
Definition
 above
Term
 When factoring polynomials, the first factoring technique to try is always ______.
Definition
 GCF
Term
 When factoring polynomials, the first method to try is ______. After doing that, the next method to try is the ________.
Definition
 GCF; Box Method
Term
 When factoring a quadratic binomial, it can sometimes be helpful to try using the _________method.
Definition
 Difference of Squares.
Term
 Factors
Definition
 Numbers and variables that are MULTIPLIED together
Term
 Terms
Definition
 Numbers and variables that are ADDED together
Term
 True or False:When factoring a binomial using the Difference of Squares method, you MUST write the '-' term first and the '+' term second. (i.e.x^2-9=(x-3)(x+3) but x^2-9does not=(x+3)(x-3)
Definition
 False
Term
 True or False:As a student, it would be a SUPREMELY good idea to learn how to factor polynomials right away and not "wing it" through MATH 65 and on into MATH 70.
Definition
 True
Term
 When factoring the polynomial:3x^2+12x+9the first factoring technique to be attempted should be ______. The second method to be attempted is _________.
Definition
 GCF; the Box Method
Term
 When you have an expression in which there is a 'power to a power' (i.e. (3^2)^5) you should ________ the powers.
Definition
 multiply
Term
 When you have an expression in which you are multiplying two powers and the bases of the exponents are the same (i.e. 4^5*4^8), you should _________ the exponents.
Definition
Term
 When you have an expression in which you are dividing two powers and the bases of the exponents are the same (i.e. 4^5/4^8), you should _________ the exponents.
Definition
 subtract
Term
 Anything (except 0) raised to the power of 0 is equal to ____.
Definition
 1
Term
 True or False:Negative exponents make the whole problem negative.
Definition
 False, a negative sign in an exponent has NOTHING TO DO WITH THE SIGN OF THE ANSWER.
Term
 When switching from a positive exponent to a negative exponent (or visa versa), this will cause the expression to _______.
Definition
 be flipped (i.e. (2/3)^4 = (3/2)^-4
Term
 On you calculator, when a numbers with the E (i.e. 8.9456234E6), your calculator is providing an answer in _________ notation.
Definition
 scientific
Term
 In a right triangle, the _______ is always the longest side.
Definition
 hypotenuse
Term
 In a right triangle, the 2 sides that form the right angle are called the _____ of the right triangle.
Definition
 legs
Term
 True or False:In a right triangle, the hypotenuse is one of the sides that helps form the right angle.
Definition
 False, the hypotenuse NEVER helps form the right angle
Term
 The square root of a number(or variable) is the same as that number raised to the ____ power.
Definition
 1/2
Term
 When you square the square-root of a number, your answer is always ________.
Definition
 that number
Term
Definition
 inside
Term
 In the Real Numbers, a radicand must always be:(a) greater than zero(b) greater than or equal to zero(c) less than zero
Definition
 b
Term
 When solving a radical equation, begin by doing what to both sides of the equation.
Definition
 squaring
Term
 To determine the x-intercepts of a function, we replace y with 0 and then solve. The reason is because ________.
Definition
 x-intercepts are always on the x-axis and therefore always have a y-coordinate of 0
Term
 To determine the y-intercept of a function, we replace x with 0 and then solve. The reason is because ________.
Definition
 y-intercepts are always on the y-axis and therefore always have an x-coordinate of 0
Term
 For a parabola, the Axis of Symmetry always goes through ______.
Definition
 the vertex of the parabola
Term
 For a parabola, the equation of the Axis of Symmetry is always ___ = ____.
Definition
 x; x-coordinate of vertex
Term
 For a parabola, the range is always begins at the ______.
Definition
 y-coordinate of the vertex
Term
 True or False:For a parabola, the vertex is always the maximum point on the graph.
Definition
 False; sometimes that's true, but when it isn't, the vertex will be the minimum point of the graph
Term
 When solving for a variable in an equation, if you have to take the square root of both sides, you MUST then _____.
Definition
 assign a '+ or -' to the solution
Term
 In a polynomial equation, if you use factoring to solve it, you consequently set each factor equal to _____ and then solve _______.
Definition
 0; both equations
Term
 When solving a system of equations, if you end up with an obviously false statement (i.e. 3=7), this is called a ________ and means ________.
Definition
 contradiction; there is no solution to the system of equations
Term
 When solving a system of equations, if you end up with an obviously true statement (i.e. 5=5), this is called an ________ and means ________.
Definition
 identity; there are infinitely many solutions since the two equations are the same thing
Term
Definition
 c
Term
Definition
 discriminant
Term
 If the Discriminant is positive, this means _________.
Definition
 there are 2 real-number solutions
Term
 If the Discriminant is negative, this means _________.
Definition
 there are no real-number solutions
Term
 If the Discriminant is zero, this means _________.
Definition
 there is exactly 1 real-number solution
Term
 A rational function is a function that can be expressed as a ______ and the denominator contains _______.
Definition
 fraction; variables
Term
 The denominator of a fraction can never equal _____.
Definition
 zero
Term
 For the function:f(x) = 3/(x-4)the domain is _______.
Definition
 All numbers except 4 since plugging 4 in for x would cause the denominator to be zero.
Term
 For the function:f(x) = -7x/(x+3)the domain is _______.
Definition
 All numbers except -3 since plugging -3 in for x would cause the denominator to be zero.
Term
 For the function:f(x) = 19.5x/(2x-6)the domain is _______.
Definition
 All numbers except 3 since plugging 3 in for x would cause the denominator to be zero.
Term
 For the function:f(x) = 8x/(5+2x)the domain is _______.
Definition
 All numbers except -2.5 since plugging -2.5 in for x would cause the denominator to be zero.
Term
 For the function:f(x) = 3/(x^2-4)the domain is _______.
Definition
 All numbers except 2 or -2 since plugging 2 or -2 in for x would cause the denominator to be zero.
Term
 When simplifying a rational expression, the first step is ALWAYS to ________ all numerators and denominators.
Definition
 factor
Term
 When getting common denominators for a pair of fractions, you always have to multiply the numerator and denominator of each individual fraction by the same thing. Why?
Definition
 So that, in effect, you are multiplying by the number 1. Therefore you're not changing the value of the fraction.
Term
 One way to rewrite the expression (2x-3) is to write it as _______.
Definition
 -1(3-2x)
Term
 One way to rewrite the expression (4x-7) is to write it as _______.
Definition
 -1(7-4x)
Term
 One way to rewrite the expression (x-10) is to write it as _______.
Definition
 -1(10-x)
Term
 When solving a rational equation, you should start by _______ both sides of the equation by the _____. This will ________.
Definition
 multiplying; LCD; get rid of all denominators (fractions)
Term
 An assumption is ____________.
Definition
 something not stated but taken as fact (i.e. Without reading the textbook, I will assume that it is accurate.)
Term
 A condition is ____________.
Definition
 a requirement or restriction (i.e. A condition for graduation is passing MATH 111.)
Term
 The word 'difference' means _______.
Definition
 subtraction
Term
 The word 'sum' means _______.
Definition
Term
 The word 'quotient' means _______.
Definition
 division
Term
 The word 'product' means _______.
Definition
 multiplication
Term
 In word problems, the word 'of' usually means ______.
Definition
 multiplication
Term
 In the Order of Operations (PEMDAS), the P stands for ________.
Definition
 parentheses and all other grouping symbols (i.e. parentheses, brackets, braces, absolute values, square roots)
Term
 In the Order of Operations (PEMDAS), the E stands for ________.
Definition
 exponents
Term
 In the Order of Operations (PEMDAS), the M stands for ________.
Definition
 multiplication
Term
 In the Order of Operations (PEMDAS), the D stands for ________.
Definition
 division
Term
 In the Order of Operations (PEMDAS), the A stands for ________.
Definition
Term
 In the Order of Operations (PEMDAS), the S stands for ________.
Definition
 subtraction
Term
 When using the Order of Operations (PEMDAS) to simplify an expression, we simplify multiplications and divisions SIMULTANEOUSLY FROM _________.
Definition
 left to right
Term
 When using the Order of Operations (PEMDAS) to simplify an expression, we simplify additions and subtractions SIMULTANEOUSLY FROM _________.
Definition
 left to right
Term
 The 'input variable' is usually the variable ___.
Definition
 x
Term
 The 'output variable' is usually the variable ___.
Definition
 y
Term
 The 'independent variable' is usually the variable ___.
Definition
 x
Term
 The 'dependent variable' is usually the variable ___.
Definition
 y
Term
 T/F:Pi is a variable.
Definition
 False, it doesn't vary. It's a constant. It's always the same number, 3.14159...
Term
 When adding or subtracting, you must have ___________.
Definition
 like terms.
Term
 The initial value of a function is the function's _______.
Definition
 y-intercept (when x = 0)
Term
 When solving an equation for x, you can ALWAYS __________.
Definition
 set the left side of the equation to y1, set the right side of the equation to y1, and see where they intersect!
Term
 An 'identity' is ___________.
Definition
 something you can steal (just kidding),it's a statement that is obviously true (i.e. 3=3)
Term
Definition
 a statment that is obviously false (i.e., 5=7)
Term
 When you flip a fraction, you are finding the ___________.
Definition
 reciprocal
Term
 Three main ways to write out the solution set to an inequality statement are: ______, ______, and ________.
Definition
 inequality notation; interval notation; line graph
Term
 When graphing a function on the calculator, you must first enter the function on the menu labeled ______.
Definition
 y= (i.e., top lefthand button on the calculator)
Term
 When graphing a function on the calculator, it is sometimes helpful to allow the calculator to select your ymin and ymax. To do this you must press _________.
Definition
 Zoom 0
Term
 When graphing a collection of individual points on the calculator, the easiest way to select an approrpiate viewing window is to press Zoom ______.
Definition
 9
Term
 To find the intersection point(s) of two functions, you enter the functions on the ______ menu, make sure the two functions appear on the screen when you graph, then press ___, ___, ___, ___, ___, ___.
Definition
 y=; Second; Trace; 5; Enter; Enter; Enter
Term
 To enter individual points into the calculator you must press ____ and then _____.
Definition
 Stat; Enter
Term
 To clear out a list of data (i.e., L1, L2,...), one way is to go to the lists, highlight the name of the list you wish to clear out and then press ____ and then _____.
Definition
 Clear; Enter
Term
 To find the Line of Regression (i.e. Line of Best Fit), you enter your data with x-values in ____ and y-values in ____. Then, you would press ____, ____, ____, and _____ 5 times.
Definition
 L1; L2; Stat; Right Arrow; 4; Enter
Term
 To generate an input-output table on the calculator, you must first enter the function on the _____ menu and then press _____ and then ______.
Definition
 y=; Second; Graph
Term
 When graphing a function, usually it is easiest to select an appropriate viewing widow by pressing Zoom ____.
Definition
 6
Term
 To find the maximum value of a function using the calculator, you would go to Second Trace and select _______.
Definition
 Maximum
Term
 To find the minimum value of a function using the calculator, you would go to Second Trace and select _______.
Definition
 Minimum
Term
 When plotting individual points on the calculator you must first go to the y= menu and turn on _______.
Definition
 Plot1
Term
 On the calculator, the Absolute Value function is found by pressing _____, ______, _______.
Definition
 Math; Right Arrow; Enter
Term
 On the calculator, the Inequality Symbols are found by pressing _____, ______.
Definition
 Second; Math
Term
 When making a Line Graph to express an interval, a ___________ means you do NOT include that particular number in your solution.
Definition
 open circle
Term
 When making a Line Graph to express an interval, a ___________ means you DO include that particular number in your solution.
Definition
 closed circle (i.e., a circle that is shaded in)
Term
 In Interval Notation, parentheses are the same as _______ circles on a line graph.
Definition
 open
Term
 In Interval Notation, brackets (i.e., [,] )are the same as _______ circles on a line graph.
Definition
 closed
Term
 The symbol for inifinity looks like the number ___ laying down on its side.
Definition
 8
Term
 In Interval Notation, infinity ALWAYS gets a _________ next to it.
Definition
 parentheses
Term
 T/F:In a function, each x-value can be used one time, at most.
Definition
 True
Term
 T/F:In a function, each y-value can be used one time, at most.
Definition
 False
Term
 For the function f(x)=5x-7, f(2)=____.
Definition
 3
Term
 For the function f(x)=5x-7, f(-3)=____.
Definition
 -22
Term
 For the function f(x)=5x-7, f(Q)=____.
Definition
 5Q-7
Term
 For the function f(x)=5x-7, f(R+W)=____.
Definition
 5(R+W)-7 (NOTE: this can be simplified using the Distributive Property)
Term
 In word problems that use the variable TIME, this variable is usually the label for the _______ axis.
Definition
 horizontal
Term
 If a function can be written in slope-intercept form, this means that _____________.
Definition
 the function is linear
Term
 The units for the slope of a function are always the ______ divided by the ______.
Definition
 units for x; units for y (i.e., if x is time measured in hours and y is distance measured in miles, then the units of slope will me 'miles/hour'.)
Term
 To find slope of a line that passes through 2 given points, we would use the formula ________.
Definition
 (y2-y1)/(x2-x1)
Term
 If a function can be written in slope-intercept form, this means that _____________.
Definition
 it's graph is a straight line
Term
 If a function has a slope of 0, this means its graph is a _______ line.
Definition
 horizontal
Term
 If the graph of an equation is a vertical line, then its slope is _________.
Definition
 Undefined
Term
 T/F:If two lines have the same slope they are guaranteed to be parallel.
Definition
 False; they must also have the added condition of 'different y-intercepts'
Term
 T/F:Perpendicular lines sometimes have slopes that are the same sign.
Definition
 False; their slopes are ALWAYS oppositely signed (i.e., 2/3 and -3/2; -4/5 and 5/4; -17 and 1/17)
Term
 T/F:If two lines are perpendicular, then their slopes multiply to give -1.
Definition
 True (the only except is when considering a vertical line and a horizontal line)
Term
 On the calculator, when calculating the Line of Best Fit/Regression Line (using LinReg), the value for 'r' that the calculator gives you tells you ______.
Definition
 how good of a fit the Line of Best Fit is for your data points that you entered
Term
 T/F:If a function passes through the origin, then we know the y-intercept and an x-intercept.
Definition
 True; both would be 0
Term
 A constant function has slope equal to _____.
Definition
 0
Term
 A constant function only has one variable in the equation: ______.
Definition
 y
Term
 T/F:The equation x=3 is a constant function.
Definition
 False; it's not a function (it doesn't pass the vertical line test), therefore it's not ANY kind of function!
Term
 In math the word 'rate' basically means _____.
Definition
 slope
Term
 In math the phrase'rate of change' basically means _____.
Definition
 slope
Term
 In math, the word 'rational' basically means _______.
Definition
 Fraction; after all, the first 5 letters of the word 'rational' form the word 'ratio'
Term
 A condition is ____________.
Definition
 a requirement or restriction (i.e. A condition for graduation is passing MATH 111.)
Term
 To write y in terms of x means to solve for ____.
Definition
 y
Term
 To write x in terms of y means to solve for ____.
Definition
 x
Term
 To write Q in terms of P means to solve for ____.
Definition
 Q
Term
 To write P in terms of Q means to solve for ____.
Definition
 P
Term
 When solving a system of equations, the Substitution Method will work always/never/sometimes.
Definition
 Always
Term
 When solving a system of equations, the Elimination Method will work always/never/sometimes.
Definition
 Always
Term
 When solving a system of equations, the Graphing Method will work always/never/sometimes.
Definition
 Always
Term
 To solve a system of equations by Graphing, you must first __________ in both equations.
Definition
 isolate y (that way you can plug the equations into your calculator on the 'y=' menu)
Term
 In Quantity/Rate problems, a key word for numbers that are rates is ______.
Definition
 per (whenever you see 'per', you know the number is a 'rate')
Term
 In Quantity/Rate problems, the first thing to do is define _________.
Definition
 the categories (i.e. Indonesian Coffee & Honduran Coffee; An account that pays 5% interest & an account that pays 3%)
Term
 In Quantity/Rate tables, you ______ horizontally.
Definition
 multiply
Term
 In Quantity/Rate tables, you ______ vertically.
Definition
 add (the exception is the 'rate' column)
Term
 In Quantity/Rate tables, the last entry in the 'rate' column will always be greater/smaller/between the other rates listed above.
Definition
 between (this is the average rate for the problem)
Term
 A quadratic function or equation is one in which the highest power of x is ___.
Definition
 2
Term
 A linear function or equation is one in which the highest power of x is ___.
Definition
 1
Term
 A cubic function or equation is one in which the highest power of x is ___.
Definition
 3
Term
 A parabola is what you get when you graph a __________ function.
Definition
Term
 A straight line is what you get when you graph a __________ function.
Definition
 linear
Term
 x-intercepts are found by setting ___ equal to zero.
Definition
 y
Term
 y-intercepts are found by setting ___ equal to zero.
Definition
 x
Term
 The axis of symmetry of a parabola is the _______ line that passes through its _________.
Definition
 vertical; vertex
Term
 The coordinates of the vertex of a parabola are denoted by the variables _____.
Definition
 (h,k)
Term
 If a quadratic function opened up (vertex is a minimum point) and the vertex is (3,4), then the range would be_______.
Definition
 y greater than or equal to 4.
Term
 For a quadratic function opening down, the range is always ________.
Definition
 y less than or equal to k (the y-coordinate of the vertex)
Term
 If a quadratic function opened down (vertex is a minimum point) and the vertex is (3,4), then the range would be_______.
Definition
 y less than or equal to 4.
Term
 For quadratic functions, the domain is sometimes/always/never all real numbers.
Definition
 always
Term
 When factoring a polynomial, the first factoring technique to try is always_______.
Definition
 GCF (i.e., for the polynomial 2x^2-4x+2, first factor out the GCF of 2, then try doing something else).
Term
 When Completing The Square, the quantity that you add to both sides, so that the left side factors nicely, is _______.
Definition
 (b/2)^2 (NOTE: the b used here is not necessarily the b from the original problem; the b used here is the coefficient of x AFTER dividing both sides of the equation by a, the coefficient of x^2)
Term
 When solving a quadratic polynomial equation, Completing The Square will work always/sometimes/never.
Definition
 always
Term
 The first 2 steps of Completing The Square are always ____________ and ___________.
Definition
 Making sure the number c is on the opposite side of the equation as the other terms; dividing both sides of the equation by the number a (NOTE: it doesn't matter which of these 2 steps you do first)
Term
 Determine as many ways as you can to solve the given equation:9x^2-81=0
Definition
 Factoring (box method)Factoring (difference of squares)Completing the SquareQuadratic FormulaGraphing Method (graph the left side as y1 and the right as y2 and see where they intersect)Add 81, divide by 9 and square root
Term
 When solving a quadratic polynomial equation, Completing The Square will work always/sometimes/never.
Definition
 always
Term
 The first 2 steps of Completing The Square are always ____________ and ___________.
Definition
 Making sure the number c is on the opposite side of the equation as the other terms; dividing both sides of the equation by the number a (NOTE: it doesn't matter which of these 2 steps you do first)
Term
 Determine as many ways as you can to solve the given equation:9x^2-81=0
Definition
 Factoring (box method)Factoring (difference of squares)Completing the SquareQuadratic FormulaGraphing Method (graph the left side as y1 and the right as y2 and see where they intersect)Add 81, divide by 9 and square root
Term
 The 'principal square root' of a number is ____________.
Definition
 the positive square root
Term
 When taking the square root of both sides of an equation, you must ___________
Definition
 determine BOTH the positive AND the negative square roots.
Term
 The square root of a fraction can be interpreted as the square root of the __________ divided by the square root of the ____________.
Definition
 numerator; denominator
Term
 Whatever is inside the square root symbol is called the _____________.
Definition
Term
 That small number that is immediately left of a radical sign is called the ____________ of the radical.
Definition
 index
Term
 In a fraction, before you can 'cancel' something between the top and the bottom of the fraction, you must first be able to _______________.
Definition
 factor that thing out of BOTH the top and bottom of the fraction
Term
 Depending on what quadratic equation you're trying to solve, some of the methods for solving it might be: _________.
Definition
 quadratic formulafactoringsolving by taking square rootsgraphingcompleting the square
Term
 T/F: The radius of a circle is twice the diameter.
Definition
 False; that statement is backwards (i.e. D = 2R)
Term
 The main characteristic of an 'equilateral triangle' is that _________________.
Definition
 its sides are all the same length
Term
 The main characteristic of an 'isosceles triangle' is that _________________.
Definition
 exactly 2 sides are the same length
Term
 The main characteristic of a 'right triangle' is that _________________.
Definition
 one of the angles is 90 degrees
Term
 An object in 'freefall' is affected only by _____________.
Definition
 gravity
Term
 When completing the square to solve a quadratic equation, you must add _____ to both sides.
Definition
 (b/(2a))^2
Term
 For a quadratic function (i.e. f(x)=3x^2-4x+7), to determine the vertex by hand you must _________________.
Definition
 find b/(2a) to get the x-coordinate and then plug that number into the function to get the y-coordinate
Term
 The imaginary number i is equal to ______.
Definition
 the square root of -1
Term
 i=___
Definition
 square root of -1
Term
 i^2=____
Definition
 -1
Term
 i^3=____
Definition
 -i
Term
 i^4=____
Definition
 1
Term
 The complex conjugate of 3-5i is _____.
Definition
 3+5i
Term
 The complex conjugate of -4-5i is _____.
Definition
 -4+5i
Term
 The complex conjugate of 3+5i is _____.
Definition
 3-5i
Term
 The word 'discriminant' makes reference to ________
Definition
Term
 Is learning all this math useful?
Definition
 Yes, among other things it will help to develop your mental faculties and it teaches clear thinking
Term
 The vertex of the function y=4(x-5)^2+7 is _______.
Definition
 (5,7)
Term
 The vertex of the function y=4(x+5)^2+7 is _______.
Definition
 (-5,7)
Term
 The statement 3
Definition
 (3,5)
Term
 The statement 3
Definition
 (3,5]
Term
 T/F: In ALL cases, the degree of a polynomial equation determines how many solutions there will be.
Definition
 True, although sometimes it's VERY difficult to find all of them
Term
 When changing a quantity from one set of units to another (i.e. change 55 mph into ft/sec), you must ALWAYS multiply by a fraction whose numerator and denominator are _______.
Definition
 equivalent
Term
 A _______ is an equation wherein there is a single fraction equal to a single fraction.
Definition
 proportion
Term
 The basic formula for 'direct variation' is _____________.
Definition
 y=kx
Term
 The basic formula for 'inverse variation' is _____________.
Definition
 y=k/x
Term
 In variation problems, the 'k' is called the _______________.
Definition
 constant of propotionality
Term
 No matter what 'a' is (except 0), the fraction a/a can always be simplified to ____.
Definition
 1
Term
 T/F: -(a/b) = (-a)/b = a/(-b)
Definition
 True, it doesn't matter where you put that single minus sign.
Term
 When dividing 1 rational expression by another, the first thing to do is ________.
Definition
 rewrite the problem using multiplication
Term
 One way to determine if a certain polynomial is a factor of the other is to divide the first polynomial into the second and then check to see if _______.
Definition
 the remainder is 0 (in that case we would say the first polynomial IS a factor of the second)
Term
 When solving an EQUATION that contains fractions, first determine the _____, then _______ both sides of the equation by it to clear remove all denominators.
Definition
 LCD; multiply
Term
 T/F: (a-b) = -1(b-a)
Definition
 True
Term
 (a-b)/(b-a)= _____
Definition
 -1 (since (a-b)/(b-a)= -1(b-a)/(b-a) in which case the 2 factors of (b-a) both cancel and -1 is all that is left over)
Term
 When adding and subtracting ANY fractions you must first get ______.
Definition
 common denominators
Term
 T/F: When multiplying fractions you must first get common denominators.
Definition
 False
Term
 Why?
Definition
 Just because.
Term
 Restrictions on the variable in an equation are primarily found in 2 ways. The first is to set the ________ equal to zero and solve. The second is to determine what makes the radicand _______.
Definition
 denominator; less than zero
Term
 Written with a positive exponent, (3/2)^-2 = _____.
Definition
 (2/3)^2 = 4/9
Term
 Written with a positive exponent, (5/4)^-3 = _____.
Definition
 (4/5)^3 = 64/125
Term
 Written with a positive exponent, 3/2^-2 = _____.
Definition
 3*2^2 = 3*4 = 12 (Notice that in the original problem, only the 2 was being raised to a negative power; the 3 was not)
Term
 Written with a negative exponent, (3/2)^2 = _____.
Definition
 (2/3)^-2
Term
 A number in scientific notation ALWAYS has ____ digit(s) to the left of the decimal point.
Definition
 1
Term
 In scientific notation, the exponent (on the 10) tells you ________ if you were to convert the number to standard decimal notation.
Definition
 how many places to move the decimal point
Term
 In the formula for Compound Interest, the variable n represents _________.
Definition
 the number of compounding periods in a single year
Term
 If interest is compounded monthly, then n = ____.
Definition
 12
Term
 If interest is compounded weekly, then n = ____.
Definition
 52
Term
 If interest is compounded semiannually, then n = ____.
Definition
 2
Term
 If interest is compounded quarterly, then n = ____.
Definition
 4
Term
 If interest is compounded annually, then n = ____.
Definition
 1
Term
 If interest is compounded daily, then n = ____.
Definition
 365
Term
 If interest is compounded semi-monthly, then n = ____.
Definition
 24
Term
 For a rational (fraction) exponent, the denominator tells you _________.
Definition
 the index of the radical (what root to take)
Term
 If you're taking an even root (square root, 4th root, 6th root, etc.) of a negative number, the answer will always be ________.
Definition
 no real solution
Term
 If you're taking an odd root (3rd root, 5th root, etc.) of a negative number, the answer will always be ________.
Definition
 a negative number
Term
Definition
Term
 For a function f(x), if f(3)=8 then for the inverse function g, g(8)=___.
Definition
 3
Term
 For a function f(x), if f(6)=2 then for the inverse function g, g(2)=___.
Definition
 6
Term
 If you're given a sequence of numbers (i.e. 1,1,2,3,5,8,...) and asked to form an input-output table, the inputs will be the ______.
Definition
 the natural numbers (1,2,3,4,5,6,...)
Term
 Exponential functions ALWAYS have _________ asymptotes.
Definition
 horizontal
Term
 The domain for exponential functions is ________.
Definition
 all real numbers
Term
 The range for exponential functions of the form f(x)=b^x is________.
Definition
 y > 0
Term
 TRUE/FALSE: Exponential functions sometimes have vertical asymptotes.
Definition
 False
Term
 TRUE/FALSE: Exponential functions always have horizontal asymptotes.
Definition
 True
Term
 On the calculator, the LOG button means 'log base____'.
Definition
 10
Term
 On the calculator, the LN button means 'log base____'.
Definition
 e
Term
 If you're having trouble solving an equation which is in 'log form', it will probably help to convert it to _________.
Definition
 exponential form
Term
 If you're having trouble solving an equation which is in 'exponential form', it will probably help to convert it to _________.
Definition
 log form
Term
 log(xy)=_____.
Definition
 log(x) + log(y)
Term
 log(x/y)+_____.
Definition
 log(x)-log(y)
Term
 log(x^2)=_____
Definition
 2log(x)
Term
 log(3x-4)=______
Definition
 log(3x-4) (this does not simplify!)
Term
 The equation S=Pe^(rt) is used to determine interest compounded _________.
Definition
 continuously
Term
 e is approximately equal to ____.
Definition
 2.7
Term
 The Average Rate of Change of a function between 2 specific points is ________.
Definition
 the SLOPE of the STRAIGHT line connecting the 2 points
Term
 When looking at the graph of a function, the 'Rate of Change' is ________.
Definition
 the SLOPE
Term
 An exponential function is a function that has the _____ in the ______.
Definition
 independent variable (usually x or t); exponent
Term
 Problems involving radioactive elements are always examples of exponential _______.
Definition
 decay
Term
 There are 2 ways of setting up an exponential function. You can either use the _______ equation or the y=Ce^(rt) equation.
Definition
 y=Ca^t
Term
 There are 2 ways of setting up an exponential function. You can either use the _______ equation or the y=Ca^t equation.
Definition
 y=Ce^(rt)
Term
 If the Percentage Rate of Change is constant for a function then that function is an ___________ function.
Definition
 exponential
Term
 The Growth/Decay Factor of an exponential function is denoted by the variable ____.
Definition
 a
Term
 The Growth/Decay Rate of an exponential function is denoted by the variable ____.
Definition
 r
Term
 The Percentage Rate of Change of an exponential function is found by _____________.
Definition
 writing the growth/decay rate r AS A PERCENT.
Term
 The Growth/Decay Rate of an exponential function is found by _____________.
Definition
 subtracting 1 from the Growth/Decay Rate 'a'
Term
 Adding 1 to the Growth/Decay Rate r gives _________.
Definition
 the Growth/Decay Factor 'a'
Term
 If the Growth/Decay Factor 'a' of an exponential function is greater than 1, this means ___________.
Definition
 the function has exponential GROWTH
Term
 If the Growth/Decay Factor 'a' of an exponential function is less than 1, this means ___________.
Definition
 the function has exponential DECAY
Term
 If 'a' denotes the one-year Growth Factor of an exponential function then ______ denotes the 5-year Growth Factor.
Definition
 a^5
Term
 When the finding the inverse of a function you need to _____________ and then ____________.
Definition
 switch the x's and y's; solve for y
Term
 T/F: If something is raised to a negative power, the answer will be negative.
Definition
 False (negative signs in exponents have nothing to do with the sign of the answer)
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