Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 1 - Ingredients of Change: Functions and Limits - 1.3 Activities - Page 30: 5

Answer

a. $ -\infty$ b. $ -1$ c. $ -1$ d. Is not continuous

Work Step by Step

From the given figure, we get a. $\lim _{x \rightarrow 6^{-}} f(x)= -\infty$ b. $\lim _{x \rightarrow 6^{+}} f(x)= -1$ c. $f(6)=-1$ d. $f$ is not continuous at $x=6$, because $$ \lim _{x \rightarrow 6^{+}} f(x)\neq \lim _{x \rightarrow 6^{+}} f(x)$$
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