As \(\rm x\) varies from \(\rm −1\ to \ +3\), which one of the following describes the behaviour of the function \(\rm f(x) = x^3 – 3x^2 + 1\)?

\(\rm f(x)\) decreases, then increases and decreases again.

\(\rm f(x)\) increases monotonically.

\(\rm f(x)\) increases, then decreases and increases again.

\(\rm f(x)\) increases and then decreases.

As \(\rm x\) varies from \(\rm −1\ to \ +3\), which one of the foll

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

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As \(\rm x\) varies from \(\rm −1\ to \ +3\), which one of the following describes the behaviour of the function \(\rm f(x) = x^3 – 3x^2 + 1\)?

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