c h a p t e r 4

Copyright © 2000 by the McGraw-Hill Companies, Inc.

C H A P T E R 4

Exponential andLogarithmic Functions


Figure 4.1 Two models for population growth.

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Figure 4.2 The graphs of fourexponential functions.

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Figure 4.3 Typical exponential graphs.

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Figure 4.4 Exponential change.

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Figure 4.5 Reflection of points acrossthe line y = x.

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Figure 4.6 The graph of y = ln x is the reflection of the graph of y = ex across the line y = x.

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Figure 4.7 Equality rule: Since the graph of y = ln x always rises, a b implies ln a ln b.

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Figure 4.8 At each point P(c, ec) on the graphy = ex, the slope equals ec.

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Figure 4.9 Revenue R = 5.000pe–0.02p.

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Figure 4.10 The standard normal density function:

.21)( 2/2xexf

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Figure 4.11 The graph of f(x) = x2 – 8 ln x.

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Figure 4.12 Present value .000.20)( 07.0 ttetP

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Figure 4.13 A learning curve Q(t) = B – Ae–kt.

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Figure 4.14 Worker efficiencyQ(t) = 700 – 400e–0.05t.

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Figure 4.15 A logistic curve .1

)( BktAeBtQ

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Figure 4.16 The spread of an epidemic

.19120)( 2.1 te

tQ

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