Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 449: 43


See graph; asymptote $y=0$ Domain: $(-\infty,\infty)$ and range: $(0,\infty)$

Work Step by Step

Step 1. Start from the original function $f(x)=e^x$ shown as the green curve in the figure. Step 2. To obtain the new curve of $g(x)=2e^{x}$, stretch the original vertically by a factor of 2 to get the red curve as shown. Step 3. We can identify the asymptote as $y=0$ Step 4. We can determine the domain as $(-\infty,\infty)$ and range as $(0,\infty)$
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