Question

use the graph to answer the question. which correctly describes the point of discontinuity of the function? (1 point) there is a jump discontinuity at x = -3. there is a removable discontinuity at x = 1. there is a jump discontinuity at x = 1. there is a removable discontinuity at x = -3.

Explanation:

A jump discontinuity occurs when the left-hand and right-hand limits at a point exist but are not equal, with the function having different defined values (or one defined, one not) on either side. At $x=-3$, the graph has a closed dot (defined value) on one side and an open dot with a horizontal line (different value) on the other, showing a jump. A removable discontinuity would have a hole (matching limits but missing point), which is not the case here, and $x=1$ shows no discontinuity.

Answer:

A. There is a jump discontinuity at $x = -3$.