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

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

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

4. Example 1 Graph the following function: x y 2 6 2 6 4 6 4 6 6 4 1 2 35 6 2 6 2 6 4 6 4 6 6 4

5. Example 2
Graph the following function:

6. Practice
Graph the following function:

7. Example
Graph the piecewise function:

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

9. Example 1
Graph the following function:

10. Practice
Graph the following function:

11. Practice
Graph the following function:

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