College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 389: 83

Answer

Domain: $(0,\infty)$ Asymptotes: $x=0; y=0;$ Local extrema: $(2.72,0.69)$

Work Step by Step

We are given the function: $$y=\dfrac{\ln x}{x}.$$ Graph the function. The domain of the function is: $$\text{domain}=(0,\infty).$$ The asymptotes are: $$x=0\text{ and }y=0.$$ There is a local maximum: $$(2.72,0.69).$$
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