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Math Madness

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3.1

Determine whether a relation represents a function.

Find the value of a function.

Determine whether a function is one-to-one.

Use the vertical line test to identify functions.

Using the horizontal line test.

Graph the functions listed in the library of functions.

3.2

Find the domain of a function defined by an equation.

Finding domains and ranges of the toolkit: functions.

Graph piecewise-defined functions.

3.3

Find the average rate of change of a function.

Use a graph to determine where a function is increasing, decreasing, or constant.

Use a graph to locate local maxima and local minima.

Analyzing the toolkit functions for increasing or decreasing functions.

Use a graph to locate the absolute maximum and absolute minimum.

3.4

Combine functions using algebraic operations.

Create a new function by composition of functions.

Evaluate composite functions.

Find the domain of a composite function.

Decompose a composite function into its component functions.

3.5

Graph functions using vertical and horizontal shifts.

Graph functions using reflections about the x-axis and the y-axis.

Determine whether a function is even, odd, or neither from its graph.

Graph functions using compressions and stretches.

Combine transformations.

3.6

Graph an absolute value function.

Solve an absolute value equation.

3.7

Verify inverse functions.

Determine the domain and range of an inverse function, and restrict the domain of a function to make it one-to-one.

Find or evaluate the inverse of a function.

Use the graph of a one-to-one function to graph its inverse function on the same axes.