2.7: Use Absolute Value Functions and Transformations

HW: p.127 (4-20 even)

Absolute Value Function Graph

Absolute Value Function Graph

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Graph

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Graph

Graph

What do you notice?

What do you notice?

How to Graph Identify points on the graph

If a is positive the V will open up.If a is negative the V will open down.

Translate the graph horizontally h units and vertically k units.

Graph

Graph

Graph

2.7 Do Now: Graph

2.7 extension: Use Piecewise Functions

Quiz 1.3, 1.5, 2.7: Tomorrow

What is a piecewise function?At least two equations, each of which applies to a different part of the function’s domain.

Evaluate the function g(x) above:A.) x = 1B.) x = 5

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Evaluate the function f(x) above:A.) x = -4B.) x = -2C.) x = 0D.) x = 4

2.7 extension: Use Piecewise Functions

HW: p.131 (1-8 all)

Graph

Step functionA piecewise function is called a step function when it is defined by a constant value over each part of its domain.Example:

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