determine the intervals of continuity for the following function. choose the correct answer below. a. 0, 2)…

Explanation:

Step1: Recall continuity concept

A function is continuous on an interval if there are no breaks, jumps, or holes in that interval.

Step2: Analyze the graph

At (x = 0), the function is defined and has no break on the left - hand side, so ([0,2)) is a continuous interval. At (x = 2), there is a jump, so the interval is open at (x = 2). At (x=2) to (x = 3), the function is continuous, giving the interval ((2,3)). At (x = 3), there is a jump, so the next interval starts open at (x = 3), and ((3,5)) is continuous. At (x = 5), there is a jump, and the function is continuous from (x = 5) to (x=6), giving the interval ((5,6)).

Answer:

B. ((0,2),(2,3),(3,5),(5,6))