Question

need help on the attachment

Answer 1

Let's identify the type of question first. This is a max-min question. So first instincts tell me that we should find f'(x) and f''(x).

After which, set f'(x) = 0 and solve the equation. Call the roots A and B.
Find f(A), f''(A), f(B) and f''(B). If both f''(A) and f''(B) are positive, then f(A) and f(B) are to be compared.

Answer 2

take the derivative, set it equal to zero and solve. say you get f'(q)=0
then check
\[f(a),f(0), f(3)\] i.e. evaluate the function and the critical points and at the endpoints.
the biggest is the biggest and the smallest is the smallest