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.

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.

Answer

Explanation:

Step1: Recall discontinuity conditions

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

Step2: Analyze the graph

At (x=-3), there is a hole in the graph. At (x = 3), there is a jump in the graph.

Answer:

(-3,3)