Which of the following accurately lists all of the discontinuities for the graph below?

jump discontinuity at x = 0; point discontinuity at x = 8
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
jump discontinuities at x = 0 and x = 8; point discontinuity at x = –2
jump discontinuity at x = 0; point discontinuities at x = –2, x = 3 and x = 8

jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8

Step-by-step explanation:

From the graph we can see that there is a whole in the graph at x=-2.

This is referred to as a point discontinuity.

Similarly, there is point discontinuity at x=8.

We can see that both one sided limits at these points are equal but the function is not defined at these points.

At x=0, there is a jump discontinuity. Both one-sided limits exist but are not equal.

step-by-step explanation:

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