For each of the following,

identify whether it is a binary relation, partial function, or total

function and give its domain and range.

$($a$)($S$,$ T$,$ G$)$ where S $=\{0,1,2\},$ T $=\{16,13,238\},$ and G $=\{07->$

$238,07->13,27->13\}.$

$($b$)($F$,$ F$,$ J$)$ where F $=\{0,1,2\},$ and J $=\{07->1,17->2,27->0\}.$

$($c$)($A$,$ B$,$ C$)$ where A $=\{$a$,$b$,$c$,$d$\},$ B $=\{$aardvark$,$elephant$,$

$$cow$,$beluga$\},$ and C $=\{$b$7->$beluga$,$c$7->$cow$,$a$7->$aardvark$\}.$

$($d$)($N$,$ N$,$ L$)$ with L $=\{($x $7->$ y$)$ in N $\backslash$times N $|$ x $=$

$$y$\}$