A. H = 51

B. H = 54

C. H = 58

D. H = 64

A.  $\left\{\begin{array}{l}\underset{[a,e]}{max} f\left(x\right)=f\left(c\right)\\ \underset{[a,e]}{min} f\left(x\right)=f\left(a\right)\end{array}\right.$

B.  $\left\{\begin{array}{l}\underset{[a,e]}{max} f\left(x\right)=f\left(a\right)\\ \underset{[a,e]}{min} f\left(x\right)=f\left(b\right)\end{array}\right.$

C.  $\left\{\begin{array}{l}\underset{[a,e]}{max} f\left(x\right)=f\left(e\right)\\ \underset{[a,e]}{min} f\left(x\right)=f\left(b\right)\end{array}\right.$

D.  $\left\{\begin{array}{l}\underset{[a,e]}{max} f\left(x\right)=f\left(d\right)\\ \underset{[a,e]}{min} f\left(x\right)=f\left(b\right)\end{array}\right.$

A. 0

B. 4

C. 2

D. 6

A.  $\frac{9}{2}$

B. 8

C. 4

D. 5