Let A$=\{0,1,2,...,9\}$A $=\backslash \{0,1,2,\backslash$dots$,9\backslash \}$A$=\{0,1,2,...,9\}.$ Which of the following functions are surjective? Select all that apply.

$($a$)$ f:A$$Af: A $\backslash$to Af:A$$A defined in the following way:

nnn$0123456789$f$($n$)$f$($n$)$f$($n$)0369258147$

$($b$)$ g:A$$Ag: A $\backslash$to Ag:A$$A defined in the following way:

nnn$0123456789$g$($n$)$g$($n$)$g$($n$)1306398824$

$($c$)$ h:$[3,0][0,$$)$h: $[-3,0]\backslash$to $[0,\backslash$infty$)$h:$[3,0][0,$$)$ defined as h$($x$)=$x$2$h$($x$)=$ x$^2$h$($x$)=$x$2.$

$($d$)$ k:Z$\{0,1,2\}$k: $\backslash$mathbb$\{$Z$\}\backslash$to $\backslash \{0,1,2\backslash \}$k:Z$\{0,1,2\}$ defined by n$$n$2$mod$3$n $\backslash$mapsto n$^2\backslash$mod $3$n$$n$2$mod$3.$