SECTION II$,$ PART B$,$ NO CALCULATOR.

$10]$ The graph of a continuous function $f$ with domain $0,8$ is given. Let $h$

$10$a$)$ find $h(1).$

$10b$ is $h(0)$ positive or negative? Justify your answer.

$10$c$)$ find the value of $x$ for which $h(x)$ is a maximum.

$10$ d $)$ find the value of $x$ for which $h(x)$ is a minimum.

$10$e$)$ find the x $-$coordinates of all points of inflection of the graph of $h(x).$

$h^{\text{'}N}(x)=f(x)$