Let $g(x)={\displaystyle \underset{a}{\overset{x}{}}}f(t)dt$ with the graph of $f$ shown above and $a$ is a constant. Find the $x-$values of $g$ regarding each of the following conditions.

a$.$ Relative minimum$($s$)$

c$.$ Concave up

e$.$ Increasing

h$.$ If $g(2)=-2,$ what is the maximum value of $g$ on the interval $0,8?$

b$.$ Relative maximum$($s$)$

d$.$ Concave down

f$.$ Decreasing

g$.$ Point$($s$)$ of inflection

i$.$ Given $h(x)={\displaystyle \underset{0}{\overset{3x-2}{}}}f(t)dt.$ Find the $x-$value where $h$ has a relative maximum.