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A Precalculus Outline

 

Chapter 5:  Further Topics in Functions

 


Section 5.1:  Function Composition

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Objective: Finding a formula for a composite function

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Objective: Finding the domain of a composite function

* Review for Section 5.1

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Objective: Function notation

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Objective: Finding domain algebraically

Section 5.2:  Inverse Functions

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Objective: Understanding the concept of inverse functions

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Objective: Identifying one-to-one functions using the Horizontal Line Test

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Objective: Verifying two functions are inverses using function composition

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Objective: Finding a formula for an inverse function

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Objective: Graphs of inverse functions

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Objective: Restricting a function to make it one-to-one

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Objective: Summary of Inverse Functions

* Review for Section 5.2

Section 5.3:  Other Algebraic Functions

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Objective: Graphing root and radical functions

* Review for Section 5.3

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Objective: Using rational exponents to simplify radical expressions

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Objective: Solving equations involving radicals

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Objective: Identifying extraneous solutions to equations involving radicals

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Objective: Solving equations involving rational exponents

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Objective: Simplifying radical expressions

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Objective: Definition of Rational Exponents

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Objective: Simplifying Expressions with Rational Exponents