University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.5 - Continuity - Exercises - Page 94: 7


(a) $f$ is not defined at $x=2$. (b) $f$ is discontinuous at $x=2$.

Work Step by Step

(a) From the graph, we notice that there is no value of $f(x)$ attached to $x=2$. Also, from the functions, there is no function of $f(x)$ for $x=2$ It means that $f$ is not defined at $x=2$. (b) Since $f$ is not defined at $x=2$, $f(2)$ does not exist. According to the Continuity Test, $f$ is discontinuous at $x=2$.
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