for which x - values is the graph below discontinuous?\no {... - 3, - 2, - 1, 0, 1, 2, 3, ...}\no {... - 3…

for which x - values is the graph below discontinuous?\no {... - 3, - 2, - 1, 0, 1, 2, 3, ...}\no {... - 3, - 1, 1, 3, ...}\no {... - 4, - 2, 0, 2, 4, ...}\no {... - 3, - 1, 0, 1, 3, ...}

for which x - values is the graph below discontinuous?\no {... - 3, - 2, - 1, 0, 1, 2, 3, ...}\no {... - 3, - 1, 1, 3, ...}\no {... - 4, - 2, 0, 2, 4, ...}\no {... - 3, - 1, 0, 1, 3, ...}

Answer

Answer:

C. ${... - 4,-2,0,2,4,...}$

Explanation:

Step1: Recall discontinuity definition

A function is discontinuous at a point where there is a break in the graph.

Step2: Observe the graph

We see breaks at $x=-4,-2,0,2,4$ etc.

Step3: Identify the pattern

The $x -$ values at which the graph is discontinuous are the even integers.