question_answer

The image of the interval [1, 3] under the mapping \[f:R\to R,\] given by \[f\left( x \right)\text{=}2{{x}^{3}}-24x+107,\] is_______.

A)  [0, 89]             

B)  [75, 89]

C)  [0, 75]             

D)  [85, 89]

E)  None of these