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: 69

Answer

The graph is shown below.

Work Step by Step

The equation $y=x^3$ is a cubic curve and passes through the vertex point (0, 0). All three curves pass through the same point (0, 0). As the exponent increases, the corresponding steepness also increases.
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