\[\boxed{\text{351\ (351).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[x^{2} - 3x - 1 = - \frac{3}{x}\]
\[y = x^{2} - 3x - 1\]
\[x_{0} = \frac{3}{2} = 1,5\]
\[y_{0} = - \frac{13}{4} = - 3\frac{1}{4}\]
\[Oy:\ \ x = 0,\ \ y = - 1\]
\[y = - \frac{3}{x}\]
\[x\] | \[1\] | \[3\] | \[- 1\] | \[- 3\] | \[6\] | \[- 6\] |
---|---|---|---|---|---|---|
\[y\] | \[- 3\] | \[- 1\] | \[3\] | \[1\] | \[- 0,5\] | \[0,5\] |
\[Ответ:\ x = - 1;x = 1;x = 3.\]
\[\boxed{\text{351.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ Нули\ функции:x = 0,\ x = 2.\]
\[2)\ y < 0\ при\ x \in ( - \infty;0) \cup\]
\[\cup (0;2).\]
\[3)\ Функция\ возрастает\ на\ \]
\[промежутке:\]
\[( - \infty;0) \cup (1; + \infty).\]
\[Функция\ убывает\ на\ \]
\[промежутке:\]
\[(0;1)\text{.\ }\]