As \(\rm x\) varies from \(\rm −1\ to \ +3\), which one of the following describes the behaviour of the function \(\rm f(x) = x^3 – 3x^2 + 1\)?
1
\(\rm f(x)\) increases monotonically.
2
\(\rm f(x)\) increases, then decreases and increases again.
3
\(\rm f(x)\) decreases, then increases and decreases again.
4
\(\rm f(x)\) increases and then decreases.