Вопрос:

Ответ:

\[f(x) = 6x - 3x^{2} \Longrightarrow ветви\ вниз\]

\[x_{0} = \frac{- 6}{- 6} = 1;\ \ y_{0} = 3 \Longrightarrow (1;3)\]

\[x\] \[0\] \[- 1\]
\[y\] \[0\] \[- 9\]

\[f(x) > 0\ \ \ при\ 0 < x < 2;\]

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