1. Piecewise Defined Functions
Lesson 2.3

2. How to Write a Weird Function
What if we had to write a single function to describe this graph …
We must learn how to specify different formulas for different parts of the domain

3. Absolute Value Function
Whatever you put into the function comes out positive -3 +7 +3 +7

4. Absolute Value Function
Definition
Use the abs( ) function on your calculator

5. Absolute Value Function
Note the graph of y = | x |
Table of values

6. Piecewise Defined Functions
Consider a function defined differently for different parts of the domain (the x values)
Consider what the table of values looks like

7. Piecewise Defined Functionsx y -1 1 2 3 4

8. Piecewise Defined Functions
Our calculator handles piecewise functions with the when ( ) command
What will the graph look like?
Use Diamond 0 for the ≤ sign

9. Piecewise Defined Functions

10. Piecewise Defined Functions
Condition
Expression to use when condition is true
Expression to use when condition is false

11. Piecewise Defined Functions
Try entering and graphing the following function

12. Piecewise Defined Functions

13. Piecewise Defined Functions
Alternative method

14. Assignment
Lesson 2.3
Page 76
Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17,