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Answer:
C. jump discontinuity at x=-2
Step-by-step explanation:
At x=-2, you have to lift your pencil to keep drawing the graph. That means there's a jump discontinuity there.
This function has a jump discontinuity at x = -2.
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<em>Additional comments</em>
At x=3, there is no discontinuity in the function. The <em>derivative</em> of the function has a discontinuity there, as there is an abrupt change in slope at that point.
If left and right limits exist and are the same at a point, but the graph is not defined at that point, then a <em>removable</em> discontinuity exists. All that is needed to fill the hole is to define the function at that point.
