\[\boxed{\text{1244.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[y = \left\{ \begin{matrix} x;\ \ \ \ \ \ \ x \leq 0 \\ x^{- 1};\ \ x > 0 \\ \end{matrix} \right.\ ;\ \]
\[\ y = \left\{ \begin{matrix} x,\ \ x \leq 0\ \ (1) \\ \frac{1}{x},\ \ x > 0\ (2) \\ \end{matrix} \right.\ \]
\[1)\]
\[x\] | \[0\] | \[- 1\] | \[- 2\] |
---|---|---|---|
\[y\] | \[0\] | \[- 1\] | \[- 2\] |
\[2)\]
\[x\] | \[1\] | \[2\] | \[3\] | \[\frac{1}{2}\] | \[\frac{1}{3}\] |
---|---|---|---|---|---|
\[y\] | \[1\] | \[\frac{1}{2}\] | \[\frac{1}{3}\] | \[2\] | \[3\] |
\[\textbf{а)}\ x = - 2:\ \ y = x \Longrightarrow y = - 2,\]
\[\ \ x \leq 0\]
\[x = 2:\ \ y = \frac{1}{x} \Longrightarrow y = \frac{1}{2},\]
\[\ \ x > 0\]
\[\textbf{б)}\ y = - 4:\ \ \ y = x \Longrightarrow x = - 4,\ \]
\[\ x \leq 0\]
\[y = 4:\ \ \ y = \frac{1}{x} \Longrightarrow x = \frac{1}{4},\]
\[\ \ x > 0.\]