Piecewise Defined Functions Lesson 2.3. How to Write a Weird Function What if we had to write a single function to describe this graph … We must learn.

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Presentation transcript:

Piecewise Defined Functions Lesson 2.3

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

Absolute Value Function Whatever you put into the function comes out positive

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

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

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

Piecewise Defined Functions xy

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

Piecewise Defined Functions

Condition Expression to use when condition is true Expression to use when condition is false

Piecewise Defined Functions Try entering and graphing the following function

Piecewise Defined Functions

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