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Various topics related to linear equations with two variables, including writing equations in slope-intercept form, finding x and y-intercepts, and graphing linear equations. It also explores functions and relations, including finding the domain and range of different functions. Additionally, the document discusses transformations of graphs, including translations, reflections, and dilations. Examples and practice problems for each of these topics, making it a comprehensive resource for students studying linear equations and graph transformations. The level of detail and the range of topics covered suggest this document could be useful for high school or early college-level mathematics courses.
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Linear Equation with Two Variable
A. Write the equation in slope intercept form
B. Find the X and Y intercept
C. Graph
Write the equation of a line given the following information and graph.
m
Functions and Relations
Find the Domain and Range for the following functions
x + 4
f x ( ) =
x - 2
x - 3
f x ( ) =
x - 2
x + 11 x + 30
2
x
x + 2
x
x + 2
4 + x - 2
2
f x ( ) =
x
x + 16
2
Tranformation of Graphs
Graph the following functions using tranformation. (Hint: create a (x,y) table using the
rules of transformation).
f x
x
2
2
2
f x = -
3 x
2
f x
( ) x
3
3
3
f x = -
2 x
3
Symmetry, Even and Odd, Piecewaise Defined Functions
For each of the following functions, state the axis of symmerty and if the function is even or
odd.
1. y = - 2 x + 1
2
2. x = - |y| - 4 3. x + y = 89
2 2
y
x
6 x
2
f x
4 x
3
6. f (x ) = - 8 x - 6 x
5 3
7. f (x )= |x| + 2
2
x
2 x
3
y
y
3 2