\[\boxed{\text{1242.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[\left\{ \begin{matrix} y = x\ \ \ \ \\ y = x^{- 1} \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ }\left\{ \begin{matrix} y = x \\ y = \frac{1}{x} \\ \end{matrix} \right.\ \]
\[y = x\]
\[x\] | \[0\] | \[1\] | \[2\] |
---|---|---|---|
\[y\] | \[0\] | \[1\] | \[2\] |
\[y = \frac{1}{x}\]
\[x\] | \[0\] | \[1\] | \[- 1\] | \[2\] | \[- 2\] |
---|---|---|---|---|---|
\[y\] | \[-\] | \[1\] | \[- 1\] | \[\frac{1}{2}\] | \[- \frac{1}{2}\] |
\[x = x^{- 1}\ при\ x = \pm 1\]
\[x > x^{- 1}\ при\ \]
\[x \in ( - 1;0) \cup (1;\ + \infty)\]
\[x < x^{- 1}\ при\ \]
\[x \in ( - \infty;\ - 1) \cup (0;1)\]
\[\textbf{а)}\ при\ x > 0:\]
\[\ x = x^{- 1}\ при\ x = 1;\]
\[x > x^{- 1}\ при\ x > 1;\]
\[x < x^{- 1}\ при\ x < 1.\]
\[\textbf{б)}\ при\ x < 0:\ \]
\[\ x = x^{- 1}\ при\ x = - 1;\]
\[x > x^{- 1}\ при\ x > - 1;\]
\[x < x^{- 1}\ при\ x < - 1.\]