Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.6 Graphs of Basic Functions - 2.6 Exercises - Page 255: 2

Answer

$G$ domain: $(-\infty, +\infty)$ range: $[0, \infty)$

Work Step by Step

The graph of the absolute value function $f(x)=|x|$ is V-shaped (refer to page 252 of the textbook). Thus, the graph of $f(x)=|x|$ is the one in Option $G$. The graph covers all x-values so the domain is $(-\infty, +\infty)$. The graph covers the y-values from $0$ and above so the range is $[0, \infty)$.
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