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Math·Advanced Math·Nonlinear functions

hard

$f(x)=3(x-4{)}^2-4(x-4)$

The function $f$ is defined by the given equation. Which of the following statements is true?

A

The function $f$ has a minimum value at $x=\frac{14}{3}$.

B

The function $f$ has a maximum value at $x=\frac{14}{3}$.

C

The function $f$ is strictly increasing.

D

The function $f$ is strictly decreasing.