Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.)

Question

f(x) = −x2 + 2x + 3 on [3, 6]
maximum
minimum

Answer 1

find f(3) and f(6)
find where f'(x) = 0 for local extrma in the interval

pick largest/smallest of those values