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 4.2 - The Natural Exponential Function - 4.2 Exercises - Page 377: 9

Answer

Domain: $(-\infty,\infty)$ Range: $(-\infty,0)$ Asymptote: $y=0$

Work Step by Step

We are given the function: $$f(x)=-e^x.$$ Consider the function $f_0(x)=e^x$ as the parent function. We obtain the graph of $f$ by reflecting the graph of $f_0$ about the $x$-axis (see the graph). From the graph we determine the following elements of function $f$: - the domain: $$\text{domain}=(-\infty,\infty)$$ - the range: $$\text{range}=(-\infty,0)$$ - the horizontal asymptote: $$y=0.$$
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