Question

Use the graph to answer the question.which correctly describes the points of discontinuity of the function select all the apply (3 answers)

Answer 1

Recall that a discontinuity in a graph is marked by an empty circle ( a circumference) or a vertical asymptote.

From the graph, we get that the function represented by the graph has two empty circles and one vertical asymptote, therefore the discontinuities of the function represented by the graph are at x=-1, x=-2, and x=1.

Now, the discontinuity at x=1 is a jump discontinuity, the discontinuity at x=-1 is removable, and the vertical asymptote is an infinite discontinuity.

Answer:

A. There is an infinite discontinuity at x=-2,

C. There is a removable discontinuity at x=-1.

E. There is a jump discontinuity at x=1.