\fEx3. (Utility functions) Consider a consumer facing two goods (i.e., X = R1). Below you will nd two utility function U1 : X > R and U2 : X > R. Do these utility functions represent the same preferences? If so, please nd a monotone function f : IR > R such that for any bundle (331,352), U2(:1:1,:c2) = f (U1(m1,a:2)). If they don't represent the same preferences please nd a pair of bundles, 3:, y E X such that U1 and U2 rank these bundles differently (i.e., for instance U103) > U1(y) and U201?)