2. An individual's preferences are rational and locally nonsatiated. Which of the following utility functions could represent her preferences over positive amounts of Good x?

A. U(x) =1 if x = 3; U(x) = 0 if x 3

B. U(x) = min{1, x}

C. U(x)= 1

D. U(x) = max(x,3)

E. None of options A-D could be correct.

F. All of options A-D could be correct.