Let Z$2=\{$n in Z $|$ n $2\}$ and Z$2=\{$n in Z $|$ n $2\}.$ I try to define a function

f : P$($Z$)\backslash \{\}$ Z$,$ by for A $$ Z$,$ A $6=$

f $($A$)=$

$$

$$

$$

min$($A$)$ if A $$ Z$2$

max$($A$)$ if A $$ Z$2$

$0$ else

$.$

Does this function make sense? Why or why not?