Question

determine the intervals of the domain over which 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: Identify domain start point

The graph has a closed dot at $x=1$, so the domain starts at $1$.

Step2: Identify domain end behavior

The graph extends right infinitely, so the domain goes to $+\infty$.

Step3: Confirm continuity

The graph has no breaks, holes, or jumps on its domain.

Answer:

A. The function is continuous on $(1, \infty)$