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

A

$$(-\infty, \infty) \to x^3 - 3x^2 + 3x + 3$$

B

$$[2, \infty) \to 2x^3 - 3x^2 - 12x + 6$$

C

$$\left(-\infty, \frac{1}{3}\right] \to 3x^2 - 2x + 1$$

D

$$(-\infty, -4] \to x^3 + 6x^2 + 6$$