Warm-Up 4 minutes Graph each function: 1) Y = 3x - 2 Y = -½x + 4 Y = 8

Objectives: Write, graph, and apply piecewise functions 2.6 Special Functions Objectives: Write, graph, and apply piecewise functions

Piecewise Functions A piecewise function consists of different function rules for different parts of the domain.

Example 1 Graph the following function: x y 2 6 2 6 4 6 4 6 6 4 1 2 3 5 6 2 6 2 6 4 6 4 6 6 4

Example 2 Graph the following function:

Practice Graph the following function:

Example Graph the piecewise function:

Absolute-Value Functions The absolute-value function, denoted by can be defined as a piecewise function as follows:

Example 1 Graph the following function:

Practice Graph the following function:

Practice Graph the following function:

Homework Textbook Pages 93 – 94 #’s 15, 16, 19, 20, 32, 34, 40