College Algebra (10th Edition)

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

Chapter 3 - Section 3.5 - Graphing Techniques: Transformations - 3.5 Assess Your Underdstanding: 49

Answer

Refer to the black graph below.
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Work Step by Step

Graph the parent function $ y=\sqrt[3]{x}$. (refer to the attached image below) RECALL: The function $y=-f(x)$ involves a reflection about the x-axis of the parent function $f(x)$: Note that reflecting a function about the x-axis changes the y-values of the parent function to their opposite sign. The x-values are not affected. The given function has involves a reflection about the x-axis of the parent function. Thus, to graph the given function, change the y-value of each plotted point to its opposite, then connect the points using a curve. (Refer to the attached image in the answer part above.)
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