Locate the Absolute Extrema of the Function $f ( x ) = - 4 x ^ { 2 } + 8 x - 2$

Multiple Choice

Locate the absolute extrema of the function $f ( x ) = - 4 x ^ { 2 } + 8 x - 2$ on the closed interval $[ - 2,2 ]$ .

A) no absolute max; absolute min: f(1) = 2
B) absolute max: f(-2) = -34 ; absolute min: f(1) = 2
C) absolute max: f(1) = 2 ; no absolute min
D) absolute max: f(1) = 2 ; absolute min: f(-2) = -34
E) no absolute max or min