The space of continuous functions from r to r is a vector space under the natural operations of addition and scalar multiplication (you do not have to show this fact). determine wether the following subsets are subspaces of this space. justify your answers. (a) w1 = {f : r → r continuous , such that f(0) = f(1) and f(2) = f(3)}. (b) w2 = {f : r → r continuous , such that r 1 0 f(x)dx = 0}. (c) w3 = {f : r → r continuous , such that f(0) + f(2) = 1}.