Locate the Absolute Extrema of the Function $f ( x ) = 3 x ^ { 2 } + 12 x + 3 \text { on the closed }$

Multiple Choice

Locate the absolute extrema of the function $f ( x ) = 3 x ^ { 2 } + 12 x + 3 \text { on the closed }$ $\text { interval } [ - 4,4 ]$

A) absolute max: $( 4,99 )$ ; no absolute min
B) no absolute max or min
C) no absolute max; absolute min: $( 4,99 )$
D) absolute max: $( 4,99 )$ ; absolute min: $( - 2 , - 9 )$
E) absolute max: $( - 2 , - 9 )$ ; absolute min: $( 4,99 )$