\[\boxed{\text{341\ (341).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[y = \left\{ \begin{matrix} - \frac{4}{x},\ \ \ \ \ \ \ \ \ \ \ \ \ если\ x < - 2; \\ 2,\ \ если - 2 \leq x \leq 2; \\ \frac{4}{x},\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ если\ x > 2 \\ \end{matrix} \right.\ \]
\[y = - \frac{4}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[- 4\] | \[- 2\] | \[- 1\] | \[4\] | \[2\] | \[1\] |
\[y = \frac{4}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[4\] | \[2\] | \[1\] | \[- 4\] | \[- 2\] | \[- 1\] |
\[\boxed{\text{341.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\left\{ \begin{matrix} xy = 4 \\ 4y = x \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} y = \frac{4}{x} \\ y = \frac{x}{4} \\ \end{matrix} \right.\ \]
\[y = \frac{4}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[4\] | \[2\] | \[1\] | \[- 4\] | \[- 2\] | \[- 1\] |
\[y = \frac{x}{4}\]
\[x\] | \[4\] | \[8\] |
---|---|---|
\[y\] | \[1\] | \[2\] |
\[Ответ:( - 4;\ - 1);(4;1).\]
\[2)\ \left\{ \begin{matrix} x - y = 1 \\ xy = 2\ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ \ \ }\left\{ \begin{matrix} y = x - 1 \\ y = \frac{2}{x}\text{\ \ \ \ \ \ \ } \\ \end{matrix} \right.\ \]
\[y = x - 1\]
\[x\] | \[1\] | \[2\] |
---|---|---|
\[y\] | \[0\] | \[1\] |
\[y = \frac{2}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[2\] | \[1\] | \[0,5\] | \[- 2\] | \[- 1\] | \[- 0,5\] |
\[Ответ:( - 1; - 2);(2;1).\]