T1 Consider the function f : IR - R defined by f (x) =x a) Find the point(s) at which f is discontinuous and at which f' is undefined. b) Why, even though f is discontinuous at certain point(s) does f (x) still satisfy the hypothesis of the Mean Value Theorem on the interval [0, 1]. c) Then, as the Mean Value Theorem holds on [0, 1], there is a number c in [0, 1] such that f' (c ) = f(b ) - f(a) b - a Find this value of c