(8 marks) Assume that f is continuous and differentiable on (-oo, co). Consider the interval [a, b] where a are real numbers. Which of the following statement(s) is/are TRUE? if you believe it is true, justify your reasoning. If you believe it is false, show it with an example. (a) There is a number c in the interval [a, b] such that f (c) is the absolute minimum of f on [a, b]. (b) There is a number c in the interval (a, b) such that f'(c) = 0. (c) If f(b)