question_answer

A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?

A)

Interval	Function
\[(-\infty ,\,\,-4]\]	\[{{x}^{3}}+6{{x}^{2}}+6\]

B)

Interval	Function
\[\left( \left. -\infty ,\,\,\frac{1}{3} \right] \right.\]	\[3{{x}^{2}}-2x+1\]

C)

Interval	Function
\[[2,\,\,\infty )\]	\[2{{x}^{3}}-2{{x}^{2}}-12x+6\]

D)

Interval	Function
\[(-\infty ,\,\,\infty )\]	\[{{x}^{3}}-3{{x}^{2}}+3x+3\]

E) None of these