Question

determine the intervals of the domain over which the 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 if there are no breaks, jumps or holes in its graph.

Step2: Analyze the given graph

The graph has no breaks, jumps or holes. So the function is continuous everywhere in its domain.

Answer:

A. The function is continuous on $(-\infty,\infty)$