Question

use the graph to answer the question.
describe the continuity of the graphed function.
(1 point)
the function has a removable discontinuity at x = 3.
the function has a removable discontinuity at x = 0.
the function has a nonremovable discontinuity at x = 3.
the function has a nonremovable discontinuity at x = 0.

Explanation:

A nonremovable discontinuity (like an asymptote) means the function has no defined value at that point, and the left/right limits do not match or go to infinity. The graph shows a vertical asymptote at $x=3$, so the function is undefined there, and the limits approach $\infty$ (right) and $-\infty$ (left), making it nonremovable. A removable discontinuity would be a hole, which is not present here, and $x=0$ has a defined (open circle) but the discontinuity is not at $x=0$.

Answer:

The function has a nonremovable discontinuity at x = 3.