# Graphs of Functions

## Graphing Functions: Translation

Methods for changing a function to shift it left, right, up, or down. Includes three examples.

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## Graphing Functions: Changing Scale

Ways to stretch or shrink a function by changing the expression used to define it, with an example.

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## Graphing Functions: Even and Odd Functions

How to reflect a function across either of the coordinate axes, including definitions for even and odd functions. Rules for the behavior of even and odd functions are given, along with examples.

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## Graphing Functions: Trigonometric Functions

Graphs of the sine, cosine, and tangent functions, including definitions of periodicity and the general sinusoidal wave, with examples.

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## Graphing Functions: Inverses

Reflecting a graph across the line y=x to create an inverse function. Includes examples and discussion of the need to restrict the domain of the inverse function in some cases.

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## Complete Graph Analysis

Graphing a function and finding its asymptotes, maxima, minima, inflection points, and regions where the graph is concave up or concave down.

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## Graphing

Nine questions involving translation, change of scale, even functions, odd functions, inverses, and trigonometric functions.

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## Sketching Graphs

Three problems which involve sketching the graph of a function.

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