Determine if the conditions of the mean value theorem are met by the function f x 2x 4x on 2 2 If so find the values of c in 2 2 guaranteed by the theorem O O f x is a polynomial and therefore is continuous on 2 2 and differentiable on the interval 2 2 The values guaranteed by the mean value theorem are c 2 3 The values guaranteed by the mean value theorem are c and c f x is a polynomial and therefore is continuous on 2 2 and differentiable on the interval 2 2 2 3 3 6 and c 3 6 f x is a polynomial and therefore is continuous on 2 2 and differentiable on the interval 2 2 The value guaranteed by the mean value theorem is c 6 3 f x is a polynomial and therefore is continuous on 2 2 and differentiable on the interval 2 2 O The value guaranteed by the mean value theorem is c 2 3 3