Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - Exercises: 18

Answer

$f(x) =$ \[ \begin{cases} -2x-2 & -2 \leq x \lt -1 \\ \sqrt {1-x^{2}} & -1\leq x\leq 1 \\ \end{cases} \]

Work Step by Step

The graphic of the function $-2x-2$ represents the only line that passes through the points (-2,2) and (-1,0) and and the graphic of the function $\sqrt {1-x^{2}}$ represents the top half of the circle with center the origin and radius 1. See the attached figure.
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