problem 1: define a function by the formula: . determine (with proof or fully-justified counterexample as appropriate): (a) whether this function is one-to-one (b) whether this function is onto if the function fails either of these conditions, state if possible a way to modify the domain or codomain of the function so that it becomes one-to-one or onto. (modify the domain or codomain as little as possible. you may not modify the formula.)