## Precalculus (6th Edition)

Published by Pearson

# 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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