\[\boxed{\mathbf{886\ (886).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ y = \left\{ \begin{matrix} - \frac{12}{x},\ \ x \leq - 3 \\ 1 - x,\ \ x > - 3 \\ \end{matrix} \right.\ \]
\[y = - \frac{12}{x}\]
\[x\] | \[2\] | \[3\] | \[4\] | \[- 2\] | \[- 3\] | \[- 4\] |
---|---|---|---|---|---|---|
\[y\] | \[- 6\] | \[- 4\] | \[- 3\] | \[6\] | \[4\] | \[3\] |
\[y = 1 - x\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[1\] | \[0\] |
\[2)\ y = \left\{ \begin{matrix} 3x - 1,\ \ x < 2\ \\ \frac{10}{x},\ \ 2 \leq x < 5 \\ x - 3,\ \ x \geq 5\ \ \ \ \ \\ \end{matrix} \right.\ \]
\[y = 3x - 1\]
\[x\] | \[0\] | \[1\] |
---|---|---|
\[y\] | \[- 1\] | \[2\] |
\[y = \frac{10}{x}\]
\[x\] | \[2\] | \[5\] | \[- 2\] | \[- 5\] |
---|---|---|---|---|
\[y\] | \[5\] | \[2\] | \[- 5\] | \[- 2\] |
\[\boxed{\mathbf{8}\mathbf{86}\mathbf{\text{.\ }}Еуроки\ - \ ДЗ\ без\ мороки}\]
\[Пусть\ числа:\ \ \ \text{a\ \ }и\ \ \ \ \frac{1}{a};\ \ \ \]
\[a < 0;\ \ \ \frac{1}{a} < 0 - обратное\ число.\]
\[a + \frac{1}{a} \leq - 2\]
\[a^{\backslash a} + \frac{1}{a} + 2^{\backslash a} \leq 0\]
\[\frac{a^{2} + 2a + 1}{a} \leq 0\]
\[\frac{(a + 1)^{2}}{a} \leq 0;\ \ при\ любых\ a < 0.\]
\[Что\ и\ требовалось\ доказать.\]