Suppose f(x) is continuous on [2,8] and -3≤f'(x)≤2 for all x in (2,8)

Question

Use the Mean Value Theorem to estimate f(8)-f(2).

Answer: ____ ≤ f(8)-f(2)≤ ____

Answer 1

MVT says derivative is f(8) - f(2) / 6

-3 <= [f(8) - f(2)] / 6 <= 2

-18 < f(8) - f(2) <= 12