College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

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

Answer

(g)

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: $f(x)=\left\{\begin{array}{ll} -x & x\lt0 \\ x & x\gt0 \end{array}\right.$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.