Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.5 Graphing Techniques: Transformations - 2.5 Assess Your Understanding - Page 104: 47


See graph Domain: $[0,\infty)$ Range: $[0,\infty)$

Work Step by Step

We are given the function: $g(x)=4\sqrt x$ We start with the basic function $a(x)=\sqrt x$. We vertically stretch $a(x)$ by a factor of 4 to get $g(x)=4\sqrt x$. We use 3 points: $(0,0),(1,4),(4,8)$ The domain of $g$ is: $D=[0,\infty)$ The range of $g$ is: $R=[0,\infty)$
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