Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-1 Chapter 4 Exponential and Logarithmic Functions.

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Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-1 Chapter 4 Exponential and Logarithmic Functions

4 Exponential and Logarithmic Functions Chapter Outline 4.1One-to-One and Inverse Functions 4.2Exponential Functions 4.3Logarithms and Logarithmic Functions 4.4Properties of Logarithms: Solving Exponential and Logarithmic Equations 4.5Applications from Business, Finance, and Science 1-2 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Learning Objectives In Section 4.1 you will learn how to:  A.Identify one-to-one functions  B.Explore inverse functions using ordered pairs  C.Find inverse functions using an algebraic method  D.Graph a function and its inverse  E.Solve applications of inverse functions 4.1 One-to-One and Inverse Functions 1-3 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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Learning Objectives In Section 4.2 you will learn how to:  A.Evaluate an exponential function  B.Graph general exponential functions  C.Graph base-e exponential functions  D.Solve exponential equations and applications 4.2 Exponential Functions 1-21 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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1-35 EXAMPLE 8 CONTINUED Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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Learning Objectives In Section 4.3 you will learn how to:  A.Write exponential equations in logarithmic form  B.Find common logarithms and natural logarithms  C.Graph logarithmic functions  D.Find the domain of a logarithmic function  E.Solve applications of logarithmic functions 4.3 Logarithms and Logarithmic Functions 1-37 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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Learning Objectives In Section 4.4 you will learn how to:  A.Solve logarithmic equations using the fundamental properties of logarithms  B.Apply the product, quotient, and power properties of logarithms  C.Solve general logarithmic and exponential equations  D.Solve applications involving logistic, exponential, and logarithmic functions 4.4 Properties of Logarithms: Solving Exponential/Logarithmic Equations 1-56 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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Learning Objectives In Section 4.5 you will learn how to:  A.Calculate simple interest and compound interest  B.Calculate interest compounded continuously  C.Solve applications involving annuities and amortization  D.Solve applications of exponential growth and decay 4.5Applications from Business, Finance, and Science 1-82 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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