Q23Multiple correct3 Marks11 Dec 2022

Consider a function $f(x)$ defined as $f(x) = |x(x - 3)|$ in the domain $[-4, 4]$. Which of the following statements are correct?

A

The maximum value of $f(x)$ is $9/4$.

B

The number of critical points is $3$.

C

The number of points where $f(x)$ is not differentiable is $2$.

D

The minimum value of $f(x)$ is $-1$.

E

The number of points where $f(x)$ attains its local maximum value is $3$.