This is similar to Section $3\mathrm{.}7$ Problem $12$:

For the function

f$($x$)=3$x$2+3$x$+(5)$

$,$ determine the absolute maximum and minimum values on the interval $[0,4].$

Answer: Absolute maximum $=$ at

x$=$

$.$

Absolute minimum $=$ at

x$=$

$.$