2. Let X = Cla, b] be the space of all real-valued continuous functions on [a, b]. For arbitrary f E X, define a map by |1 . |12 : C[a, b] - R by 1Ifll2 = (/ 1f (t ) 12 at ) 2 a Prove that the map || . |/2 is a norm on C[a, b]