WarmUp

1
Warm-Up
4 minutes
Graph the function , and then use the
horizontal-line test to determine if the inverse
is a function.
2
2.6.1 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
0
0
2
6
6
2
6
4
6
4
6
4
5
Example 2
Graph the following function
6
Practice
Graph the following function
7
Example 3
Write the equations for the function shown.
(use SMART Board)
8
Practice
Write the equations for the function shown.
(use SMART Board)
9
Homework
p.129 17-27 odds
10
Warm-Up
4 minutes
Graph the piecewise function
11
2.6.2 Special Functions

• Objectives
• Write, graph, and apply step and absolute-value
  functions

12
Step Functions
A step function is a piecewise function that
consists of different constant range values for
different intervals of the domain of the function.
Greatest integer function
Rounding-up function
Rounding-down function
13
Example 1
Graph the following function
14
Homework
p.130 53,55
15
Warm-Up
4 minutes
Graph the step function
16
2.6.3 Special Functions

• Objectives
• Write, graph, and apply step and absolute-value
  functions

17
Absolute-Value Functions
18
Example 1
Graph the following function
19
Practice
Graph the following function
20
Practice
Graph the following function
21
Homework
study guide