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# Monotonicity

MICRO-QEJZ3E

Let a utility function for $c \in {x,y,z}$ be $U(c) = \left\{ \begin{array}{lr} 0 & if c = x \\\ 1 & if c = y \\\ 2 & if c = z \end{array} \right.$.

Fill in values in the spaces below for a monotonic transformation of this utility function:

U(x) =

, U(y) =

, U(z) =