Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3* The Natural Exponential Function - 6.3* Exercises - Page 452: 18

Answer

The graph of the function $y=e^{|x|}$ is from $(0,\infty)$ and its reflection along y-axis as depicted below:
1519129911

Work Step by Step

As per piecewise definition of absolute values $y=x$ for $x\geq 0$ and $y=-x$ for $x<0$ Therefore, as per the question, we have $y=e^{x}$ for $x\geq 0$ and $y=e^{-x}$ for $x<0$ The graph of the function $y=e^{|x|}$ is from $(0,\infty)$ and its reflection along y-axis as depicted below:
Small 1519129911
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.