Question

find all points where the function is discontinuous.
a. x = - 2, x = 6
b. x = - 2
c. none
d. x = 6

Explanation:

Step1: Recall continuity criteria

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

Step2: Analyze the graph

From the graph, we can see breaks at \(x = - 2\) and \(x=6\). At \(x=-2\), there is a jump - like behavior and at \(x = 6\) there is a hole in the graph.

Answer:

A. \(x=-2,x = 6\)