Let f: R+R be defined as f(x) = Vx2 + 1. Please do both of the following. i. Please prove that f(x) - f(y)] < 1x – y for every 2, y € R. ii. Is f a contraction mapping? (Hint: don't make the mistake of thinking that the proof of part (a) suffices in showing that there does not exist a possible c. Instead, if / were a contraction mapping, is there some sort of contradiction found in one of our theorems? If so, be sure to carefully state that theorem and verify its hypotheses.)