For each of the following functions, decide whether the Mean Value Theorem applies on the indicated interval

Question:

For each of the following functions, decide whether the Mean Value Theorem applies on the indicated interval I. If so, find all possible values of c, if not, tell why. Make a sketch. a. f(x) = x3/3; I =[-3, 3]
b. F(x) = x3/5 + 1; I = [-1, 1]
c. g(x) = x + 1/x - 1; I - [2, 3]