Now let A D f$1$; $2$; $3$g$,$ B D fa; b; c; dg$,$ and C D fs; tg$.$ Define f W A $!$ B by gW A $!$ B by hW A $!$ C by f $\mathrm{.}1/$ D a g$\mathrm{.}1/$ D a h$\mathrm{.}1/$ D s f $\mathrm{.}2/$ D b g$\mathrm{.}2/$ D b h$\mathrm{.}2/$ D t f $\mathrm{.}3/$ D c g$\mathrm{.}3/$ D a h$\mathrm{.}3/$ D s $1.$ Which of these functions satisfy the following property for a function F$?$ For all x; y $2$ dom.F $/,$ if x $$ y$,$ then F $.$x$/$ F $.$y$/.2.$ Which of these functions satisfy the following property for a function F$?$ For all x; y $2$ dom.F $/,$ if F $.$x$/$ D F $.$y$/,$ then x D y$.3.$ Determine the range of each of these functions.