1. Suppose f'(t) <0 for all t in the interval (2,8). Explain why f(3) > f(5)
2. Suppose f(0) = 3 and 2 is less than or equal to f'(x) which is less than or equal to 4 for all x in the interval [-5,5]. Determine the greatest and least possible values of f(2).
This shows how to answer questions about functions using the derivatives.