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: 52

Answer

See graph; asymptotes of $y=0$ and $y=2$ .
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Work Step by Step

Step 1. Function $g$ can be obtained by shifting $f$ 1 unit to the right and 2 units up. Step 2. Graph both functions $f(x)=(\frac{1}{2})^x$ and $g(x)=(\frac{1}{2})^{x-1}+2$ as shown in the figure. Step 3. We can identify a horizontal asymptote $y=0$ for $f(x)$, and $y=2$ for $g(x)$ .
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