Can someone help Which correctly describes the point of discontinuity of the function?

A. Jump discontinuity at x=3
B. Removable discontinuity at x=-2
C. jump discontinuity at x=-2
D. Removable discontinuity at x=3

9514 1404 393

  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.

__

Additional comments

At x=3, there is no discontinuity in the function. The derivative 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 removable discontinuity exists. All that is needed to fill the hole is to define the function at that point.