Which of the following accurately lists all discontinuities of the function below?

point discontinuity at x = –2
point discontinuity at x = 4; jump discontinuity at x = –2
point discontinuities at x = –4 and x = 4; jump discontinuity at x = –2
jump discontinuities at x = –4, x = –2, and x = 4

I think the answer is B

The correct answer is option B.

From the graph we can see the following discontinuities:

a) A hole at x = -2

b) A jump at x = 0

c) A hole at x = 8

The hole refers to the point discontinuity and the jump refers to as jump discontinuity. The function is defined and is continuous at x = 3

Thus, the given graph has jump discontinuity  at x = 0 and point discontinuity at x = -2 and x = 8

Step-by-step explanation: