$($A$)$ Find the following values of the function $A(x).$

$A(0)=0$

$A(1)=2$

$A(2)=3$

$A(3)=2\mathrm{.}5$

$A(4)=2$

$A(5)=2$

$A(6)=3$

$A(7)=5$

$A(8)=$

$($B$)$ Use help $($intervals$).$ to indicate the interval or union of intervals where $A(x)$ is increasing and decreasing. $A(x)$ is increasing for $x$ in the interval

$A(x)$ is decreasing for $x$ in the interval $q,$

$($C$)$ Find where $A(x)$ has its maximum and minimum values.

$A(x)$ has its maximum value when $x=8$

$A(x)$ has its minimum value when $x=$