Find the absolute extrema if they exist, as well as all values of x where they occur, for the function
f(x) = 3x\textsuperscript{3} + 12x\textsuperscript{2} + 12x + 7 on the domain [-4,0].
Identify the absolute maximum if it exists, as well as all values of x where it occurs. Select the correct choice below and,
if necessary, fill in the answer boxes to complete your choice.
A. The absolute maximum is \boxed{} , which occurs at x = \boxed{}
(Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of x where
the maximum occurs. Use a comma to separate answers as needed.)
B. There is no absolute maximum.
