determine the intervals of the domain over which the function is continuous. select the correct choice below…
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.
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 given graph
Inspect the graph for any discontinuities such as vertical asymptotes, holes, or jump - discontinuities. If there are none, the function is continuous over its domain.
Answer:
A. The function is continuous on (the entire domain of the function as seen on the graph, for example, if the graph is defined from (x = a) to (x = b) without any breaks, it would be ([a,b]); since no specific domain values are given in the question description from the graph, we assume the general concept. If the graph is continuous over all real - valued (x) values it is defined on, it could be something like ((-\infty,\infty)) depending on the actual graph). You need to determine the actual interval by looking at the full graph details.