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: Analyze the graph

The graph shown is a straight line (a linear function), which has no breaks, holes, or jumps. Linear functions are continuous everywhere in their domain.

Step2: Determine the domain

For a linear function represented by a line extending infinitely in both directions (as seen from the arrows on the ends of the line), the domain is all real numbers. In interval notation, this is $(-\infty, \infty)$.

Answer:

$(-\infty, \infty)$