Suppose that a decision-makers preferences over the set A={a, b, c} are represented by the payoff function u for which u(a) = 0, u(b) = 1, and u(c) = 4.

(a) Give another example of a function f:AR that represents the decision-makers preferences.

(b) Is there a function that represents the decision-makers preferences and assigns negative numbers to all elements of A?