determine the intervals of continuity for the following function. choose the correct answer below. a. 0, 1)…

Explanation:

Step1: Identify open - and closed - interval rules

Open intervals are used where the function has a break or is not defined at the endpoints. Closed intervals are used where the function is defined and continuous at the endpoints.

Step2: Analyze the graph

At (x = 0), the function is defined and continuous from the right, so we start with ([0,1)). At (x = 1), there is a break, so we have ((1,2)). At (x = 2), there is a break, so ((2,4)). At (x=4), there is a break, so ((4,6)).

Answer:

B. ([0,1),(1,2),(2,4),(4,6))