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: 84

Answer

Domain: $(-10,\infty)$ Asymptote: $x=-10$ Local extrema: $(-5.87,-3.62)$

Work Step by Step

We are given the function: $$y=x\log_{10}(x+10).$$ Graph the function. The domain of the function is: $$\text{domain}=(-10,\infty).$$ The asymptotes are: $$x=-10.$$ There is a local minimum: $$(-5.87,-3.62).$$
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