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Math 119
Unit 3
36
Mathematics
Undergraduate 1
11/08/2010

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Term
You can Represent ordered pairs of real numbers by point in a plane called
Definition

Rectangular coordinate system

or

Cartesian Plane

Term
Horisontal real number line
Definition
x-axis
Term
Vertical line
Definition
y-axis
Term
The point of intersection of these two axis is
Definition
the origin
Term
The two axes divide the plane into four parts called
Definition
Quadrants
Term
The quadrants are called
Definition
Quadrants I, Quadrant II, Quadrant III, Quadrant IV
Term
The distance Formula
Definition
d=Sqaure root of (x2-x1)^2+(y2-y1)^2
Term
Midpoint Formula
Definition
(x1+x2/2,y1+y2/2)
Term
X-coordinate
Definition
represents the directed distance from the Y-axis to the point
Term
represents the directed distance from the x-axis to the point
Definition
Y-coordinate
Term
Set of all the point that are solution of the equation?
Definition
Graph of an equation
Term
Points at which the graph intersects or touches the x or y axis
Definition
Intercepts
Term
Standard from of the equation of a circle
Definition
(x-h)^2 + (y-k)^2=r^2
Term
To solve an equation in x means
Definition
to find all values of x
Term
What are the values
Definition
Solutions
Term
An eqaution that is true for every real number in the domain of the variable is called
Definition
Identity
Term
An equation that is true for jus some or even none of the real numbers in the domain of the variable is called?
Definition
Conditional equation
Term
Linear Equation in one variable
Definition

ax+b=0

 

Where a and b are real numbers with a doesn't equal 0

 

Term
Finiding x-intercepts and Y-intercepts
Definition

x-intercepts, set y equal to zero and solve the equation for x.

y-intercepts, set x equal to zero and solve the equation for y.

Term
Zeros of a function
Definition
THe zeros of a function f of x are the x-values for which f(x) = 0
Term
Vertical line Test
Definition
A set of points in a coordinate plane is the graph of Y as a function of x id and only if no vertical line interects the graph at more than one point.
Term
Graph of a function
Definition
F is the collection of ordered pairs (x,f(x)) such that x is in the domain of f.
Term
What helps derteming the relative minimum or relative maximum
Definition
The point at which a function changes its increasing, decreasing, or constant behavior
Term
Rate of change
Definition
Slope of a line
Term
Special types of linear functions
Definition
Constant function and indentiy function
Term
Squaring Function
Definition
f(x)=x^2
Term
Step functions
Definition
Functions whose graphs resemble sets of stairsteps
Term
Greatest interger function
Definition

the greatest interger less than or equal to x

f(x)= ((x))

Term
Vertical Shift c untis upaward
Definition
h(x)=f(x)+c
Term
Vertical Shift c units downward
Definition
h(x)=f(x)-c
Term
Horizontal shift c units to the right
Definition
h(x)=f(x-c)
Term
Horizontal shift c units to the left
Definition
h(x)= f(x+c)
Term
Reflection in the x-axis
Definition
h(x)=-f(x)
Term
reflection in the y-axis
Definition
h(x)=f(-x)
Term
Slope
Definition
change in Y/ Change in X
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