SOLUTION: If f(x) is continuous and differentiable real valued function defined on open interval (-1, 4) such that f(3) = 5 and derivative of f(x) >= -1 for all x. Find the greatest possible

Algebra ->  Functions -> SOLUTION: If f(x) is continuous and differentiable real valued function defined on open interval (-1, 4) such that f(3) = 5 and derivative of f(x) >= -1 for all x. Find the greatest possible      Log On


   

Question 1172396: If f(x) is continuous and differentiable real valued function defined on open interval (-1, 4) such that f(3) = 5 and derivative of f(x) >= -1 for all x. Find the greatest possible value of function f(x) at x = 0?
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

Common sense (combined with elementary knowledge on derivatives) tells that


    f%280%29%5Bmaximum_%5D = 5 + 3 = 8.      ANSWER