Locate the Absolute Extrema of the Function $f ( x ) = x ^ { 3 } - 3 x$

Multiple Choice

Locate the absolute extrema of the function $f ( x ) = x ^ { 3 } - 3 x$ on the closed interval [0,2].

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