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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

Respuesta :

peanutbutter20

Answer: 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:

ogorwyne

The correct discontinuities of this function is point discontinuity at x = 4; jump discontinuity at x = –2.

How to solve for the discontinuity

In this graph, we can find a hole at x = -2. This is the point that is referred to as point discontinuity.

Looking further we can also find another discontinuity at x = 8. The limits are equal at these points although they are not defined.

At x is 0. we find the jump continuity.

Read more on discontinuity here: https://brainly.com/question/12644479

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Ver imagen ogorwyne

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