Question

determine the intervals of the domain over which the function shown to the right is continuous. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the function is continuous over the interval (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.

Step2: Examine the graph

The given graph is a straight - line without any breaks, jumps or holes.

Step3: Determine the domain interval

The line extends infinitely in both directions. The domain for which the function is continuous is $(-\infty,\infty)$.

Answer:

A. The function is continuous over the interval $(-\infty,\infty)$