Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.1 Limits (An Intuitive Approach) - Exercises Set 1.1 - Page 60: 21

Answer

The graph attached is the answer required. (red line is the function) Note that the white dots are where the function is not defined, and blue dots are where the function is defined.

Work Step by Step

i) This means the graph's $x$-value must extend from $-1$ to $1$. ii) This means that at $x$-values $-1$, $0$ and $1$, the corresponding $y$-value must be $0$. iii) This means that as we approach $x$-values $-1$, $0$ and $1$, the corresponding $y$-value must approach $1$.
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