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

question 48

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