If f(4) = 12 and f '(x) ≥ 3 for 4 ≤ x ≤ 9, how small can f(9) possibly be?
Accepted Solution
A:
Answer: 27Step-by-step explanation:If the slope of f(x) is no less than 3, then the value of f(9) can be no less than 27. f(x) ≈ f(4) +f'(x)·(x-4) f(9) = 12 +3(9 -4) = 27 . . . . . for f'(x) = 3.For larger numbers of f'(x), f(9) will be larger.