\[\boxed{\text{1249.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[y = \left\{ \begin{matrix} x^{- 2},\ \ - 2 \leq x < - 1 \\ x^{2},\ \ - 1 \leq x \leq 1\ \ \ \ \ \ \\ x^{- 2},\ \ 1 < x \leq 2\ \ \ \ \ \\ \end{matrix} \right.\ \Longrightarrow\]
\[y = \left\{ \begin{matrix} \frac{1}{x^{2}},\ \ - 2 \leq x < - 1 \\ x^{2},\ \ - 1 \leq x \leq 1\ \ \ \ \\ \frac{1}{x^{2}},\ \ 1 < x \leq 2\ \ \ \ \ \ \ \\ \end{matrix} \right.\ \]
\[x\] | \[- 2\] | \[- 1,5\] |
---|---|---|
\[\text{\ y}\] | \[\frac{1}{4}\] | \[\frac{4}{9}\] |
\[x\] | \[- 1\] | \[0\] | \[1\] |
---|---|---|---|
\[y\] | \[1\] | \[0\] | \[1\] |
\[x\] | \[1,5\] | \[2\] |
---|---|---|
\[\text{\ y}\] | \[\frac{4}{9}\] | \[\frac{1}{4}\] |
\[\textbf{а)}\ a = 2 \Longrightarrow y = 2 \Longleftrightarrow не\ имеет\ \]
\[общих\ точек.\]
\[\textbf{б)}\ a = 1 \Longrightarrow y = 1 \Longleftrightarrow имеет\ \]
\[две\ общие\ точки.\]
\[\textbf{в)}\ a = \frac{1}{2} \Longrightarrow y = \frac{1}{2} \Longleftrightarrow имеет\ 4\]
\[\ общие\ точки.\]
\[\textbf{г)}\ a = 0 \Longrightarrow y = 0 \Longleftrightarrow имеет\]
\[\ одну\ общую\ точку.\]