a) Consider the following functional relation, f, defined as: f : R \rightarrow R, f(x) = x2 Determine whether or not f is a bijection. If it is, prove it. If it is not, show why it is not. b) Consider the set F = {y | y = ax3 + b}, a, b being constants such that a \ne 0 and x \in R. Is F equivalent to R? If so, prove it. If not, explain in details why it is not the case.