Answer
(a) continuous
(b) not continuous
(c) not continuous
(d) continuous
Work Step by Step
Based on the given graph, we can conclude that
(a) $f(x)$ is continuous at $x=-2$,
(b) $f(x)$ is not continuous at $x=1$ because the limit (2) does not equal to the function value (0) at this point.
(c) $f(x)$ is not continuous at $x=3$ because the left side limit (5) does not equal to the right side limit (-3) at this point.
(d) $f(x)$ is continuous at $x=4$.
