determine the intervals of the domain over which the function is continuous.\nselect the correct choice…

determine the intervals of the domain over which the function is continuous.\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is continuous on \n(type your answer in interval notation.)\nb. the function is not continuous.

determine the intervals of the domain over which the function is continuous.\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is continuous on \n(type your answer in interval notation.)\nb. the function is not continuous.

Answer

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, there are no visible breaks, jumps or holes. The function appears to be a smooth - looking curve over its entire domain shown.

Step3: Determine the domain interval

The x - values of the graph range from negative infinity to positive infinity. In interval notation, this is $(-\infty,\infty)$.

Answer:

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