Question

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

Explanation:

Step1: Identify discontinuity points

Look for open circles on the graph; these mark x-values where the function is discontinuous. From the graph, the open circles are at $x=1, x=3, x=-1, x=-3$.

Step2: Match to option

Check which set contains these x-values and follows the pattern of odd integers (positive and negative, continuing infinitely).

Answer:

$\{\dots -3, -1, 1, 3, \dots\}$