Let $f$ be a continuous function on the closed interval $[0, 3]$, and let be a point on $[0, 3]$ such that $f(c) = 2$ is a maximum value of $f$ on $[0, 3]$. Which of the following CANNOT be true?
$\int_0^3 f(x)dx = 7$
$\int_0^3 f(x)dx = 5$
$f$ is increasing on $[0, 3]$
$f$ is decreasing on $[0, 3]$
$f(x) = x(3-x) - \frac{1}{4}$