Question

Describe the discontinuity of the graphed function. Be sure to indicate the location of each discontinuity and identify the type of discontinuity.

Answer 1

Removable discontinuity at x=-5 Jump discontinuity at x=1

Explanation:

In the graphs shown, the hole exist in the function at x=-5. These holes are called removable discontinuities.

Hence, one type of discontinuity exists is removable discontinuity at x=-5

The function gives different values at x=1. When this happens, we say the function has a jump discontinuity.

Jump Discontinuities exist where both one-sided limits exist, but have different values. Hence, at x=1 jump discontinuity exists.

Answer 2

at x=-5, we got a removable discontinuity because that point is removed there
at x=1 we got a jump or step discontinuity because the graph jumps there