Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.4 Library of Functions; Piecewise-defined Functions - 1.4 Assess Your Understanding - Page 85: 12

Answer

$G$

Work Step by Step

We can see from the graph that it represents the absolute value function, $f(x)=|a|$ because it shown an increasing line with slope $1$ from $0$ to $\infty$ and a decreasing line with slope $-1$ from $-\infty$ to $0$. In other words, it matches the following piecewise function: $f(x)=|a|=\left\{\begin{array}{ll} -a & a\lt0 \\ a & a\gt0 \end{array}\right.$ So, the matching graph is $(g)$.
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