Calculus 8th Edition

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

Chapter 6 - Inverse Functions - 6.2 Exponential Functions and Their Derivatives - 6.2 Exercises: 10

Answer

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