for which x - values is the graph below discontinuous? {... - 3, - 2, - 1, 0, 1, 2, 3,...} {... - 3, - 1, 1…

for which x - values is the graph below discontinuous? {... - 3, - 2, - 1, 0, 1, 2, 3,...} {... - 3, - 1, 1, 3,...} {... - 4, - 2, 0, 2, 4,...} {... - 3, - 1, 0, 1, 3,...}

for which x - values is the graph below discontinuous? {... - 3, - 2, - 1, 0, 1, 2, 3,...} {... - 3, - 1, 1, 3,...} {... - 4, - 2, 0, 2, 4,...} {... - 3, - 1, 0, 1, 3,...}

Answer

Explanation:

Step1: Recall discontinuity concept

A function is discontinuous at a point if there is a break in the graph at that point. In a step - function like this, discontinuities occur where the function value jumps.

Step2: Identify x - values of jumps

Looking at the graph, the function has jumps at (x=-4,-2,0,2,4,\cdots). These are the even - valued (x) points.

Answer:

({... - 4,-2,0,2,4,...})