Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.6 - Transformations of Functions - Exercise Set - Page 242: 117

Answer

See graph and explanations.
1581090213

Work Step by Step

Step 1. Graph the function $f(x)=x^{\frac{1}{3}}$ shown as the blue curve in the figure. Step 2. To obtain the curve of function $g(x)=(-x-2)^{\frac{1}{3}}=(-(x+2))^{\frac{1}{3}}$, shift the original curve horizontally 2 units to the left, then reflect the result around $x=-2$, shown as the red curve.
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