Question $1[25$marks$]$

Determine the domain and range $of$ the following functions:

$af(x)=\frac{x}{1+x}$

$[4$ marks$]$

$bf(x)=\sqrt[\phantom{2}]{4-x}$

$[4$ marks$]$

$cf(x)=x^3-2x$

$[4$ marks$]$

$df(x)=\sqrt[\phantom{2}]{x^2-4}$

$[4$ marks$]$

$ef(x)=2cosx$

$[4$ marks$]$

$ff(x)=4-(x-2{)}^2$

$[5$ marks$]$