Calculus 8th Edition

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

Chapter 1 - Functions and Limits - 1.8 Continuity - 1.8 Exercises - Page 91: 6

Answer

The functions must have discountinous at $x=-1 $ and $x=4$ which is shown in following graph.

Work Step by Step

As we know that the graph of the function $y=f(x)$ must have discountinuities at $x=-1$ and $x=4$. It shows that $\lim\limits_{a \to -1^-}f(x)=f(-1)$ and $\lim\limits_{x \to 4^+}f(x)=f(4)$ which is represented by the following graph;
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