Chapter 4

Exponential and Logarithmic Functions

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Definition of Exponential Function

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Properties of Exponents

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Figure 4.3: Characteristics of the Exponential Functions y = a-x and y = ax (a >1)

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Limit Definition of e

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Figure 4.6: Types ofPopulation Growth Models

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Summary ofCompound Interest Formulas

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Derivative of theNatural Exponential Function

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Definition of theNatural Logarithmic Function

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Figure 4.13

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Logarithmic Form/Exponential Form

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Inverse Propertiesof Logarithms and Exponents

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Properties of Logarithms

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Derivative of theNatural Logarithmic Function

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Other Bases and Differentiation

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Law of ExponentialGrowth and Decay

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Guidelines for ModelingExponential Growth and Decay