Note: You may wish to combine parts $($a$)$

and $($b$)$ in a single table.

$($a$)$ Make a table of all behaviours belonging to the following. $\backslash$Sigma $=\{$x$7->$ S$,$x$7->$ S$\}$ where S $=\{0,1,2,3,12\}$

$($b$)$ For each of the behaviours above, indicate whether it is ac$-$

cepted $($Y$)$ or rejected $($N$)$ by each of the following specifications

$($on $\backslash$Sigma $).$

f $=$x $>0$ x$>0$

g $=$x $>=0$ x$>0$

h $=$x $>1$ x$>0$

m $=$x $>0$ x$>=0$