Determine if the conditions of the mean value theorem are met by the function f(x) = 2x34x on [- 21 2]. If so, find the values of c in ( 2, 2) guaranteed by the theorem. 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 = - and C = . f(x) is a polynomial and therefore is continuous on [- 2. 2] and differentiable on the interval ( 2, 2). ya The value guaranteed by the mean value theorem is C = T f(x) is a polynomial and therefore is continuous on [- 2. 2] and differentiable on the interval ( 2, 2). 2J3 2J3 3 andc=T. The values guaranteed by the mean value theorem are C = - f(x) is a polynomial and therefore is continuous on [- 2. 2] and differentiable on the interval (- 2. 2). 2J3 The value guaranteed by the mean value theorem is C = T