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A Precalculus Outline

 

Chapter 6:  Exponential and Logarithmic Functions

 


Section 6.1:  Introduction to Exponential and Logarithmic Functions

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Objective: Graphing Exponential Functions

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Objective: Graphing Logarithm Functions

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Objective: Common and Natural Logarithmic Functions

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Objective: Find the domain of logarithmic functions

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Objective: Converting between exponential and logarithmic form

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Objective: Evaluating Logarithms

* Review for Section 6.1

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Objective: Finding domain algebraically

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Objective: Sign diagram

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Objective: Quadratic inequalities

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Objective: Polynomial inequalities

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Objective: Rational inequalities

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Objective: Graphing functions

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Objective: Inverse function

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Objective: One-to-one

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Objective: Horizontal line test

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Objective: Graphs of inverse functions

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

Section 6.2:  Properties of Logarithms

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Objective: Understanding the Power Rule of Logarithms

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Objective: Understanding the Product Rule of Logarithms

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Objective: Understanding the Quotient Rule of Logarithms

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Objective: Understanding the Change of Base Formula for Logarithms

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Objective: Using Properties of Logarithms

* Review for Section 6.2

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Objective: Properties of exponents

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Objective: Logarithm function

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Objective: Common logarithms

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Objective: Natural logarithms

Section 6.3:  Exponential Equations and Inequalities

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Objective: Solving equations involving exponential functions

* Review for Section 6.3

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Objective: Properties of exponential functions

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Objective: Properties of logarithms

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Objective: Sign diagram

Section 6.4:  Logarithmic Equations and Inequalities

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Objective: Solving equations involving logarithm functions

* Review for Section 6.4

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Objective: Properties of exponential functions

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Objective: Properties of logarithms

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Objective: Sign diagram

Section 6.5:  Applications of Exponential and Logarithmic Functions

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Objective: Understanding continuously compounded interest formula

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Objective: Understanding the compound interest formula

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Objective: Understanding the Exponential Growth and Decay formula

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Objective: Solving Exponential Growth Applications

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Objective: Solving Radioactive Decay Applications

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Objective: Newton's Law of Cooling

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Objective: Introduction to Simple and Compound Interest

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Objective: Solving Compound Interest Problems

* Review for Section 6.5

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Objective: Graphing exponential functions

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Objective: Graphing logarithm functions

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Objective: Solving equations involving exponential functions

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Objective: Solving equations involving logarithms