\[\boxed{\text{340\ (340).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ y = \left\{ \begin{matrix} - \frac{2}{x},\ \ \ \ \ если\ x \leq - 1; \\ x + 3,\ \ \ если\ x > - 1 \\ \end{matrix} \right.\ \]
\[y = - \frac{2}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[- 2\] | \[- 1\] | \[- 0,5\] | \[2\] | \[1\] | \[0,5\] |
\[y = x + 3\]
\[x\] | \[1\] | \[0\] |
---|---|---|
\[y\] | \[4\] | \[3\] |
\[2)\ y = \left\{ \begin{matrix} - 2x + 10,\ \ \ если\ x \leq 2; \\ \frac{12}{x},\ \ \ \ \ \ \ если\ \ 2 < x < 4; \\ 3,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ если\ \ x \geq 4 \\ \end{matrix} \right.\ \]
\[y = - 2x + 10\]
\[x\] | \[2\] | \[3\] | \[4\] |
---|---|---|---|
\[y\] | \[6\] | \[4\] | \[2\] |
\[y = \frac{12}{x}\]
\[x\] | \[2\] | \[3\] | \[4\] | \[- 2\] | \[- 3\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[6\] | \[4\] | \[3\] | \[- 6\] | \[- 4\] | \[- 3\] |
\[\boxed{\text{340.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\text{\ \ }\]
\[1)\ \frac{8}{x} = 6 - x\]
\[y = \frac{8}{x}\]
\[x\] | \[2\] | \[4\] | \[8\] | \[- 2\] | \[- 4\] | \[- 8\] |
---|---|---|---|---|---|---|
\[y\] | \[4\] | \[2\] | \[1\] | \[- 4\] | \[- 2\] | \[- 1\] |
\[y = 6 - x\]
\[x\] | \[1\] | \[2\] | \[3\] |
---|---|---|---|
\[y\] | \[5\] | \[4\] | \[3\] |
\[Ответ:x = 2;x = 4.\]
\[2)\ 2x = \frac{2}{x}\]
\[y = 2x\]
\[x\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|
\[y\] | \[0\] | \[2\] | \[4\] |
\[y = \frac{2}{x}\]
\[x\] | \[1\] | \[2\] | \[4\] | \[- 1\] | \[- 2\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[2\] | \[1\] | \[0,5\] | \[- 2\] | \[- 1\] | \[- 0,5\] |
\[Ответ:x = 1;x = \ - 1.\]
\[3)\frac{7}{x} = - x\ \]
\[y = \frac{7}{x}\]
\[x\] | \[1\] | \[7\] | \[3,5\] | \[- 1\] | \[- 7\] | \[- 3,5\] |
---|---|---|---|---|---|---|
\[y\] | \[7\] | \[1\] | \[2\] | \[- 7\] | \[- 1\] | \[- 2\] |
\[y = - x\]
\[x\] | \[1\] | \[0\] | \[- 2\] |
---|---|---|---|
\[y\] | \[- 1\] | \[0\] | \[2\] |
\[Ответ:нет\ корней.\]