Question

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

Answer 1

Answer:

The answer should be B

Step-by-step explanation:

Short and sweet version of the other guy's answer

Answer 2

Answer:

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.