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

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(52803) (Show Source): You can put this solution on YOUR website!
.


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


     = 5 + 3 = 8.      ANSWER

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