Functions and Their Graphs
Functions and Their Graphs
11 Graphs of Equations


Find x and y intercepts of graphs

Use symmetry to sketch graphs of equations

Find equations and sketch graphs of circles

Use graphs of equations in real life situations
12 Linear Equations in two variables

Use slope to graph linear equations in two variables

Find slopes of lines

Write linear equations in two variables

Use slope to identify parallel and perpendicular lines

Use linear equations in two variables to model real life situations
13 Functions

Decide whether relations between two variables are functions

Use functions notation and evaluate functions

Find the domain of functions

Use functions to model and solve real life problems
14 Analyzing Graphs of Functions

Use the vertical line test for functions

Find the zeros of functions

Determine intervals on which functions are increasing, decreasing or constant

Identify and graph linear functions

Identify and graph step functions and other piecewise defined functions

Identify even and odd functions
15 Shifting, Reflecting and Stretching Graphs

Recognize graphs of common functions

Use vertical and horizontal shifts to sketch graphs of functions

Use reflections to sketch graphs of functions

Use nonrigid transformations to sketch graphs of functions
16 Combinations of functions

Add, subtract, multiply and divide functions

Find compositions of one function with another

Use combinations of functions to model and solve real life problems
17 Inverse Functions

Find inverse functions informally and verify that two functions are inverses of each other.

Use graphs of functions to decide whether functions have inverses

Find inverse functions algebraically
18 Mathematical Modeling

Write mathematical models for direct variation

Write mathematical models for inverse variation

Write mathematical models for joint variation
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