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

Explanation:

Step1: Recall discontinuity conditions

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

Step2: Identify holes

At $x = - 3$, there is an open - circle, indicating a removable discontinuity.

Step3: Identify jumps

At $x = 4$, there is a jump in the graph, so the function is discontinuous.

Answer:

$-3,4$