Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises 1.2 - Page 21: 75

Answer

See the figure and steps below.

Work Step by Step

As shown in the figure, for $ x^2-1\geq 0$, we can plot $ y=x^2-1$ for regions $ x\leq -1$ and $ x\geq 1$. Then, for $ x^2-1\leq 0$, we can plot $ y=1-x^2$ for the region $-1\leq x\leq 1$.
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