Вопрос:

Постройте график функции: f(x)=3x-4; 9-x^2; x.

Ответ:

\[f(x) = \left\{ \begin{matrix} 3x - 4,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x \leq 2 \\ 9 - x^{2},\ \ 2 < x < 4 \\ x,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x \geq 4\ \\ \end{matrix} \right.\ \]

\[f(x) = 3x - 4\]

\[x\] \[0\] \[2\]
\[y\] \[- 4\] \[2\]

\[f(x) = 9 - x^{2}\]

\[x_{0} = 0,\ \ y_{0} = 9\]

\[y(2) = 5,\ \ y(4) = - 7\]


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