Explanation Given information: The function is y = 1 + ln ( − x ) . The graph of the logarithmic function log a x for values of a as 2,3,4,5 and 10 is redrawn as shown in Figure1. The graph of the exponential function is redrawn as mirror image of logarithmic function about y = x line is shown in Figure 2. Graph: The graph of the function y = 1 + ln ( − x ) is obtained by reflecting the graph y = ln x about the y -axis and then shifting upward by 1 unit. The reflection of the function f ( x ) about the y - axis is f ( − x ) . So, the reflection of the function y = ln x about the y -axis is y = ln ( − x ) . The shifting of the function f ( x ) by a units upwards is f ( x ) + a . Therefore, the shifting of the function y = ln ( − x ) by 1 unit upward is y = 1 + ln ( − x ) . The graph of the function y = 1 + ln ( − x ) is as shown in Figure 3.

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 4.3, Problem 70E

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To sketch:

Thegraph of the logarithmic function y=1+ln(−x) from the graphs in Figure 1 and Figure 2.State the domain, range and asymptote of the function.

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Chapter 4.3, Problem 69E

Chapter 4.3, Problem 71E

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Thegraph of the logarithmic function y = 1 + ln ( − x ) from the graphs in Figure 1 and Figure 2.State the domain, range and asymptote of the function.

Solution Summary: The graph of the logarithmic function y=1+mathrmln(-x) is redrawn as shown in Figure 1.

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To sketch:

Thegraph of the logarithmic function y=1+ln(−x) from the graphs in Figure 1 and Figure 2.State the domain, range and asymptote of the function.

Want to see the full answer?

Chapter 4 Solutions

Thegraph of the logarithmic function y = 1 + ln ( − x ) from the graphs in Figure 1 and Figure 2.State the domain, range and asymptote of the function.

Solution Summary: The graph of the logarithmic function y=1+mathrmln(-x) is redrawn as shown in Figure 1.

Videos

To sketch: Thegraph of the logarithmic function y=1+ln(−x) from the graphs in Figure 1 and Figure 2.State the domain, range and asymptote of the function.

Want to see the full answer?

Chapter 4 Solutions

To sketch:

Thegraph of the logarithmic function y=1+ln(−x) from the graphs in Figure 1 and Figure 2.State the domain, range and asymptote of the function.