Ответ:
\[f(x) = 6x - 3x^{2} \Longrightarrow ветви\ вниз\]
\[x_{0} = \frac{- 6}{- 6} = 1;\ \ y_{0} = 3 \Longrightarrow (1;3)\]
| \[x\] | \[0\] | \[- 1\] |
|---|---|---|
| \[y\] | \[0\] | \[- 9\] |

\[f(x) > 0\ \ \ при\ 0 < x < 2;\]
\[f(x) \leq 0\ \ при\ \ \ x \leq 0\ \ и\ \ x \geq 2.\]