## College Algebra (10th Edition)

Published by Pearson

# Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 244: 14

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#### Work Step by Step

The graph corresponds to the absolute value function, $y=|x|$ because it is a decreasing line with slope $-1$ from $-\infty$ to $0$ and an increasing line with slope $1$ from $0$ to $\infty$. This corresponds to the piecewise definition of the absolute value function: $f(x)=\left\{\begin{array}{ll} -x & x\lt0 \\ x & x\gt0 \end{array}\right.$

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