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In which quadrants are the first coordinate positive?
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Definition
Quadrant I and Quadrant IV
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What are the polarity of the coordinates in Quadrant I?
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Definition
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What are the polarity of the coordinates in Quadrant II?
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Definition
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What are the polarity of the coordinates in Quadrant III?
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Definition
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What are the polarity of the coordinates in Quadrant IV?
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Definition
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Where are the quadrant locations on the coordinate plane?
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Definition
Quadrant II | Quadrant I
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Quadrant III| Quadrant IV
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In which quadrants are the second coordinate negative?
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Definition
Quadrant III and Quadrant IV
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In which quadrants are the signs of the first and second coordinates different?
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Definition
Quadrant II and Quadrant IV
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In which quadrants are the signs of the first and second coordinates are the same?
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Definition
Quadrant I and Quadrant III
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Term
What is Distance Formula?
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Definition
Distance= (Squareroot of
((x2-x1)^2)+((y2-y1)^2))
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How do you find the Distance Between Two Points?
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Definition
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What is Midpoint Formula?
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Definition
((x1+x2)/2),((y1+y2)/2)
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How do you find the Midpoint Between Two Points?
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Definition
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Term
How do you graph the following Equation?
y=(x+B)
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Definition
1.)Choose Random Values for "x" and solve "y", allowing you to generate a set of ordered pairs.
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2.)Plot the points of each ordered pair you generated on the coordinate plane.
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3.)Connect those points with a line.
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How do you graph the following Equation?
y=((x^3)+B)
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Definition
1.)Choose Random Values for "x" and solve "y", allowing you to generate a set of ordered pairs.
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2.)Plot the points of each ordered pair you generated on the coordinate plane.
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3.)Connect those points with a booty curve (aka Smooth Curve).
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What are the x and y intercepts of the following problem?
(x^2)+(y^2)=A
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Definition
1.)Both the x-intercepts and the y-intercepts are the positive and negative squareroots of "A".
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How do you determine the center and radius of the circle described by this equation?
(x+A)^2+(y-B)^2=C
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Definition
1.) (-A,B)
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2.) Squareroot of "C"
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What is Slope Formula?
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Definition
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How do you find the Slope of a line that crosses through two Points?
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Definition
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If slope is positive, what is the line like?
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Definition
The line rises from left to right
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If slope is negative, what is the line like?
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Definition
The line falls from left to right
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If slope is zero, what is the line like?
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Definition
The line is horizontal
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If slope is undefined, what is the line like?
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Definition
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What is Point-Slope Form?
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Definition
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How do you get Point-Slope Form into Slope Intercept Form?
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Definition
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How do you find an equation in slope-intercept form of the line that passes through two given points?
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Definition
1.)Use slope formula to calculate the slope.
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2.) Put it into point-slope form.
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3.) Get Point-Slope Form into Slope Intercept Form.
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| How do you graph a line when given one point and a slope? |
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Definition
1.) Graph the point
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2.) Move vertically based on the numerator of the slope, from the point graphed.
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3.) Move horizontally based on the denominator of the slope, and plot the point.
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Term
How do you tell if two non-vertical lines are parallel?
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Definition
If and only if their slopes are equal and they have different y-intercepts.
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How do you tell if two non-vertical lines are perpendicular?
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Definition
If and only if the product of their slopes is -1.
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What is the standard form of the equation of a line?
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Definition
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| How do you find the slope from the Standard form of an equation of a line? |
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Definition
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| How do you find the y-intercept from the Standard form of an equation of a line? |
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Definition
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Term
How do you evaluate this function, at the given values of the independent variable and simplify?
Function: f(x)=(x^2)-Ax+B
What is f(C)?
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Definition
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Term
How do you evaluate this function, at the given values of the independent variable and simplify?
Function: f(x)=(x^2)-Ax+B
What is f(x+C)?
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Definition
1.)Plug in "x+c" for "x"
((x+C)^2)-(A(x+C))+B
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2.)This should become...
((x+C)*(x+C))-(A(x+C))+B
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3.)Which should become...
(x^2)+2Cx+(C^2)-Ax+AC+B
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How do you evaluate this function, at the given values of the independent variable and simplify?
Function: f(x)=(x^2)-Ax+B
What is f(-x)?
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Definition
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How do you solve this function?
f(x)=(A/(Square Root of x))
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f(-B)
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Definition
It is not defined aka The Solution is not a Real Number.
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Term
When shown a graph, how do you find the value of f(A)?
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Definition
Find the corresponding value of "y" when "x" equals "A"
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How do you write the interval in which a graph is is increasing?
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Definition
(Lowest x-value where graph is increasing, Highest possible x-value where graph is increasing)
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How do you write the interval in which a graph is constant?
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Definition
(Lowest x-value where graph is constant, Highest possible x-value where graph is constant)
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How do you write the interval in which a graph is decreasing?
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Definition
(Lowest x-value where graph is decreasing, Highest possible x-value where graph is decreasing)
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How do you find the average rate of change of the function as x changes from a to b?
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f(x)=(A-x)^2
a=B
b=A
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Definition
1.)Solve for f(b)
(A-A)^2
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2.)f(b) should equal zero
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3.)Solve for f(a)
(A-B)^2
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4.)Calculate
(f(a)/b-a)
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Term
What is the formula for calculating average rate of change?
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Definition
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Term
What is the difference quotient formula?
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Definition
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How do you write a linear equation when provided with these functions?
f(A)=B
f(C)=D |
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Definition
1.)Treat those functions as a set of ordered pairs:
(A,B) and (C,D)
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2.)Use Slope Formula to Calculate the Slope
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3.)Place the equation in Point Slope Form
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4.)Solve for y, to put it into Intercept Form
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5.)Change "y" to "f(x)"
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How do you solve the following piece-wise function?
Let f(x) = A if x>0, -A is x<0
What does f(B) equal if B>0?
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Definition
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How do you solve the following piece-wise function?
Let f(x) = A if x>0, -A if x<0
What does f(B) equal if B<0?
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Definition
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What is the graph for this piece-wise function?
Let f(x) = A if x>0, -A if x<0
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Definition
A hole in the graph at "-A" and "A" with a horizontal line going through both, one going left, and one going right.
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What is the range for this piece-wise function?
Let f(x) = A if x>0, -A if x<0
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Definition
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What is the domain for this piece-wise function?
Let f(x) = A if x>0, -A if x<0
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Definition
(-Infinity,0) Union (0,Infinity)
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How do you shift the graph "A" units to the right?
f(x)=x
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Definition
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How do you shift the graph "A" units to the left?
f(x)=x
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Definition
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Term
How do you shift the graph "A" units up?
f(x)=x
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Definition
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Term
How do you shift the graph "A" units down?
f(x)=x
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Definition
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Term
How do you Reflect the graph over the x-axis?
f(x)=x
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Definition
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Term
How do you shrink a graph by A units?
f(x)=x
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Definition
f(x)=A(x)
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Hit the "A" with the point
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Term
How do you stretch a graph by A/B units?
f(x)=x
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Definition
f(x)=A/B(x)
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Hit the "A/B" with the point
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Term
In what order should one apply transformations to a graph?
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Definition
1.)Horizontal Shifting
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2.)Stretching or Shrinking
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3.)Reflecting
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4.)Vertical Shifting
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Term
How do you solve this problem:
(f of g)(A)
f(x)=Bx+C
g(x)=Dx^2-E
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Definition
1.)Solve g(A)
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2.)Plug in the solution to g(A) in for "x" into f(x), and solve.
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Term
How do you find the x-intercept?
Ax-By=C
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Definition
Set "y" equal to zero, and solve for "x".
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Term
How do you find the y-intercept?
Ax-By=C
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Definition
Set "x" equal to zero, and solve for "y".
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Term
How do you know if lines are parallel?
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Definition
They have the same slope.
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Term
How do you know if lines are perpendicular?
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Definition
Their slopes are negative reciprocals.
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Term
How do you know if lines are neither parallel or perpendicular?
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Definition
Their slopes aren't the same or negative reciprocals of each other.
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Term
How do you find the slope of this equation?:
Ax+By=C
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Definition
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How do you find the y-intercept of this equation?:
Ax+By=C
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Definition
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Term
How do you find the solution of this problem?:
f(x)=((x)/(A-x))
f(-1/B)
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Definition
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What is the shape of this function?
x^2
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Definition
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