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: 65

Answer

The graph is shown below.

Work Step by Step

The equation $y=x^2$ is an upward parabola with the vertex point (0,0), and the equation $y=-x^2$ is a downward parabola with the vertex point (0,0). Therefore, as the absolute value function y=|x| opens upwards and lies in quadrants I and II, the absolute value function y=-|x| open downwards and lies in quadrants III and IV.
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