The x y$-$coordinate plane is given. A function begins at the closed point $(4,3),$ goes down and right becoming more steep, passes through the approximate points $(3,2\mathrm{.}75),(2,2),(1,0),$ changes direction at the point $(0,2),$ goes up and right becoming more steep, passes through the approximate point $(1,1\mathrm{.}5),$ ends at the closed point $(2,1),$ begins again at the open point $(2,3),$ goes down and right becoming more steep, passes through the approximate point $(3,2\mathrm{.}5),$ and ends at the closed point $(4,0).$

$($a$)$ State the values of the following.

g$(2)=$

g$(2)=$

g$(0)=$

g$(-1)=$

$($b$)$ For what value$($s$)$ of x is g$($x$)=3?($Enter your answers as a comma$-$separated list.$)$

$($c$)$ For what value$($s$)$ of x is g$($x$)3?($Enter your answer using interval notation.$)$

$($d$)$ State the domain and range of g$.($Enter your answers using interval notation.$)$

domain

range

$($e$)$ On what interval$($s$)$ is g increasing? $($Enter your answer using interval notation.$)$