EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
4th Edition
ISBN: 9781337516853
Author: Larson
Publisher: CENGAGE CO
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Chapter 3.2, Problem 68E
To determine

Find the domain, x -Intercept, and vertical asymptote of the logarithmic function and sketch its graph.

Expert Solution & Answer
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Answer to Problem 68E

Domain of h is (−5,∞) .

  x− -intercept:  (−4,0)

Vertical asymptote: x=−5

Explanation of Solution

Given:

  h(x)=ln(x+5)

The given logarithmic function is h(x)=ln(x+5) .

The basic characteristics of this logarithmic function are:

Domain:

  ln(x+5) is defined only if (x+5)>0, , it follows that

Domain of h is (−5,∞) .

  x− -intercept:  (−4,0)

Vertical asymptote: x=−5

The graph corresponding to this function is given below:

  EBK PRECALCULUS W/LIMITS, Chapter 3.2, Problem 68E

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Chapter 3 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
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