Piecewise Defined Functions

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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

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Absolute Value Function

• Whatever you put into the functioncomes out
  positive

-3
7
3
7
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Absolute Value Function

• Definition

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

• Note the graph of y x
• Table of values

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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

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Piecewise Defined Functions
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Piecewise Defined Functions

• Our calculatorhandles piecewisefunctions with
  thewhen ( ) command

What will the graph look like?
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Piecewise Defined Functions
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Piecewise Defined Functions

• Condition
• Expression to usewhen conditionis true
• Expression to use when condition is false

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Piecewise Defined Functions

• Try entering and graphing the following function

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Piecewise Defined Functions
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Assignment

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