Precalculus (6th Edition) Blitzer

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

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 464: 57

Answer

Please see below.
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Work Step by Step

The graph of $g(x)=\frac{1}{2}\log_2x$ (the red graph) is the graph of $f(x)=\log_2x$ (the blue graph) vertically shrunk by $\frac{1}{2}$. Looking at the graph, we observe that the vertical asymptote is $x=0$. We also find that the domain and the range of the function $g(x)$ are$$D_g=(0, \infty ) \quad \text{ and } \quad R_g= (- \infty, \infty ),$$respectively.
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