Question

use the given graph of the function to find the x - values for which f is discontinuous. answer (separate by commas): x = note: you can click on the graph to enlarge the image.

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: Identify holes

The open - circle points on the graph represent holes in the function.

Step3: Identify jumps

Points where the graph has a sudden jump are also points of discontinuity.

Step4: Determine x - values

By observing the graph, we can see the x - values at which the function is discontinuous.

Answer:

$x=-4,0,4$