## University Calculus: Early Transcendentals (3rd Edition)

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