Determine the interval$($s$)$ on which the following function is continuous. At which finite endpoints of the intervals of continuity is $f$ continuous from the left or continuous from the right?

$f(x)=\sqrt[\phantom{2}]{2x^2-36}$

The function is continuous on the interval$($s$)$

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

At which finite endpoints of the intervals of continuity is $f$ continuous from the left? Select the correct choice below and, if necessary, fill in the answer box without your choice.

A$.$ The finite endpoint$($s$)$ for which $f$ is continuous from the left is$/$are

$($Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.$)$

B$.$ There are no finite endpoint$($s$)$ for which $f$ is continuous from the left.

At which finite endpoints of the intervals of continuity is $f$ continuous from the right? Select the correct choice below and, if necessary, fill in the answer box without your choice.