Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.4 Library of Functions; Piecewise-defined Functions - 2.4 Assess Your Understanding - Page 93: 64


The graph is shown below.

Work Step by Step

The equation y=|x| is an absolute value line with the vertex point (0,0). Multiplying the values 2 and 4 with |x| gives the absolute value line. And dividing the value by 2 gives the extended absolute value line. Therefore, the equation y=1/4|x| gives the extended absolute value, and the equation y=5|x| gives a compressed absolute value line.
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