Question

this is the graph of function h. dashed lines represent asymptotes.
over which intervals is h continuous?
choose all answers that apply:
a -3,3
b 3,5
c none of the above

Explanation:

Step1: Analyze Interval [-3, 3]

Check the graph for continuity on \([-3, 3]\). At \(x = 2\), there's an open circle (discontinuity) and a blue dot (different value), so the function is not continuous here.

Step2: Analyze Interval [3, 5]

Check \([3, 5]\). The graph on this interval has no breaks, jumps, or asymptotes. It's a smooth curve, so the function is continuous here.

Answer:

B. \([3, 5]\)