Question

determine the intervals of the domain over which function is continuous. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the function is continuous on type your answer in interval notation. b. the function is not continuous.

Explanation:

Step1: Recall continuity definition

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

Step2: Analyze the graph

Looking at the given graph, we can see that the function has no breaks, jumps or holes on its domain.

Answer:

A. The function is continuous on $(-\infty,\infty)$ (assuming the graph continues as - is depicted in both directions; if there are endpoints not - shown, adjust the interval accordingly based on the full domain of the graph).