#### Answer

The graph that is discontinuous in many points is the one in Option $B$.
The graph's range is the set of integers.
Inset notation, the range is $\left\{...-3, -2, -1, 0, 1, 2, 3, ...\right\}$.

#### Work Step by Step

The graph in Option $B$ has many gaps so it is discontinuous at many points.
The function's values are $-3, -2, -1, 0, 1, 2, 3...$.
Thus, the graph's range is the set of integers.