Answer
This makes sense.
Work Step by Step
Please note that when $\lim_{x \to a^- }f(x) \neq \lim_{x \to a^+ }f(x)$, there must be a jump at $x=a$ in the graph of the function $f(x)$ near $x=a$. Thus, one would have to "lift the pencil" around this point when drawing the graph.