PreCalculus Lesson 1.6.notebook

PreCalculus Lesson 1.6.notebook
Lesson 1.6
Inverse Functions
September 21, 2011
Tuesday, February 8, 2011
Goals: Find inverse functions
Use graphs to determine inverse functions
Determine if functions are one­to­one
Find inverse functions Algebraically
Instructional DVD's: Inverse Functions 27:02 DVD 1
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PreCalculus Lesson 1.6.notebook
September 21, 2011
Definition of Inverse Function
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PreCalculus Lesson 1.6.notebook
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Example 1
Finding Inverse Functions Informally
Find the inverse function of f(x) = 4x
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PreCalculus Lesson 1.6.notebook
September 21, 2011
Example 2
Finding Inverse Functions Informally
Find the inverse function of f(x) = x ­ 6
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PreCalculus Lesson 1.6.notebook
September 21, 2011
Example 3
Verifying Inverse Functions Algebraically
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PreCalculus Lesson 1.6.notebook
September 21, 2011
Example 4
Verifying Inverse Functions Algebraically
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PreCalculus Lesson 1.6.notebook
September 21, 2011
Example 5
Verifying Inverse Functions Graphically and Numerically
Graphical Solution
Numerical Solution
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PreCalculus Lesson 1.6.notebook
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Example 6
Testing for One­to­One Functions
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PreCalculus Lesson 1.6.notebook
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Example 7
Finding an Inverse Functions Algebraically
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PreCalculus Lesson 1.6.notebook
September 21, 2011
Example 8
Finding an Inverse Functions Algebraically
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PreCalculus Lesson 1.6.notebook
September 21, 2011
Example 9
Finding an Inverse Functions Algebraically
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PreCalculus Lesson 1.6.notebook
Date: September 21, 2011
Tuesday, February 8, 2011
Classwork:
Computer:
Homework: Lesson 1­6
Page 69­70 Problems 7, 11, 23, 33, 37, 55 12
PreCalculus Lesson 1.6.notebook
(((2x+3)/(x­1))+3)/(((2x+3)/(x­1))­2)
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(2((x+3)/(x­2))+3)/(((x+3)/(x­2))­1)
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