\[\boxed{\text{360\ (360).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[f(x) = \left\{ \begin{matrix} - \frac{6}{x},\ \ \ если\ x \leq - 1\ \ \ \\ x^{2},\ \ если\ x > - 1 \\ \end{matrix} \right.\ \]
\[1)\ f( - 12) = - \frac{6}{- 12} = \frac{1}{2}\]
\[f( - 1) = - \frac{6}{- 1} = 6\]
\[f( - 0,9) = x^{2} = {0,9}^{2} = 0,81\]
\[f(3) = 3^{2} = 9\]
\[f(0) = 0\]
\[2)\ y = x^{2}\]
\[x\] | \[1\] | \[2\] | \[- 1\] | \[- 2\] |
---|---|---|---|---|
\[y\] | \[1\] | \[4\] | \[1\] | \[4\] |
\[y = - \frac{6}{x}\]
\[x\] | \[2\] | \[3\] | \[- 2\] | \[- 3\] | \[6\] | \[- 6\] |
---|---|---|---|---|---|---|
\[y\] | \[- 3\] | \[- 2\] | \[3\] | \[2\] | \[- 1\] | \[1\] |
\[\boxed{\text{360.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\left\{ \begin{matrix} y = x^{2}\text{\ \ \ \ \ \ \ \ \ \ \ \ \ } \\ 3x + 2y = - 6 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} y = x^{2}\text{\ \ \ \ \ \ \ \ \ \ \ \ } \\ y = \frac{- 6 - 3x}{2} \\ \end{matrix} \right.\ \]
\[y = x^{2}\]
\[x\] | \[1\] | \[2\] | \[- 1\] | \[- 2\] |
---|---|---|---|---|
\[y\] | \[1\] | \[4\] | \[1\] | \[4\] |
\[y = \frac{- 6 - 3x}{2}\]
\[x\] | \[- 2\] | \[0\] |
---|---|---|
\[y\] | \[0\] | \[- 3\] |
\[Ответ:нет\ решений.\]
\[2)\ \left\{ \begin{matrix} y = x^{2} \\ x - 3y = - 3 \\ \end{matrix} \right.\ \text{\ \ \ \ }\]
\[\left\{ \begin{matrix} y = x^{2} \\ y = \frac{- 3 - x}{- 3} \\ \end{matrix} \right.\ \text{\ \ \ \ \ }\left\{ \begin{matrix} y = x^{2} \\ y = \frac{3 + x}{3} \\ \end{matrix} \right.\ \]
\[y = x^{2}\]
\[x\] | \[1\] | \[2\] | \[- 1\] | \[- 2\] |
---|---|---|---|---|
\[y\] | \[1\] | \[4\] | \[1\] | \[4\] |
\[y = \frac{3 + x}{3}\]
\[x\] | \[0\] | \[3\] |
---|---|---|
\[y\] | \[1\] | \[2\] |
\[Ответ:2\ решения.\]