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

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

Verified Answer :

apologiabiology

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

Answer:

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

Step-by-step 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.