3. Consider the following functions: (x, y) x % y where x%y returns the remainder of x/y. a. (1 pt) Is f a well-defined function? YES/NO b. (2 pt) Is fone-to-one? If yes, provide a proof. If no, provide a counterexample c. (2 pt) Is fonto? If yes, provide a proof. If no, provide a counterexample d. (2 pt) What is the range of f? e. (2 pt) Is fa bijection? If not, modify (if possible) the domain and/or the codomain of f so that fis a bijection. Otherwise, write "impossible" as an