A function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched? [AIEEE 2005]

• A.               Interval                                        Function             \[\left( -\infty ,\,\frac{1}{3} \right]\]                                                   \[3{{x}^{2}}-2x+1\]
• B.             (? ¥, ? 4]                                         \[{{x}^{3}}+6{{x}^{2}}+6\]
• C.             (? ¥, ¥)                                           \[{{x}^{3}}-3{{x}^{2}}+3x+3\]
• D.                 [2, ¥)                                           \[2{{x}^{3}}-3{{x}^{2}}-12x+6\]