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 +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 Functions xy 0 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. 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. Assignment Lesson 2.3 Page 76 Exercises 1, 3, 5, 7, 9, 11, 13, 15, 17,