consider the graph of the function y = f(x) shown in the following figure. determine all x - values for…

consider the graph of the function y = f(x) shown in the following figure. determine all x - values for which the function is discontinuous. enter your answer as a comma - separated list. x=-3,4 not equivalent.

consider the graph of the function y = f(x) shown in the following figure. determine all x - values for which the function is discontinuous. enter your answer as a comma - separated list. x=-3,4 not equivalent.

Answer

Explanation:

Step1: Recall discontinuity criteria

A function is discontinuous at a point if there is a break, jump, or hole in the graph at that point.

Step2: Examine the graph

At (x = - 3), there is an open - circle, which means the function is not defined at (x=-3) and is discontinuous. At (x = 1), the function has a sharp turn, but it is still continuous. At (x = 4), there is an open - circle, so the function is discontinuous at (x = 4).

Answer:

(-3,4)