\[\boxed{\text{822\ (822).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ x = - 3,5 \Longrightarrow \ \ y = 1,5;\]
\[x = - 1,5 \Longrightarrow \ \ y = 3,5;\]
\[x = 2 \Longrightarrow \ \ y = - 1;\]
\[x = 4 \Longrightarrow \ \ y = 2;\]
\[2)\ y = - 3,\ x = - 4;\]
\[4)\ область\ определения:\ \]
\[- 4,5 \leq x \leq 5;\]
\[область\ значений:\ \ \]
\[- 3,5 \leq y \leq 4;\]
\[5)\ y > 0\ \ при\ - 3 < x < 1,5\ \ \ \ и\ \ \ \]
\[\ x > 3,5;\]
\[6)\ y < 0\ \ при\ \ \]
\[- 4,5 < x < - 3\ \ \ и\ \ \ \]
\[1,5 < x < 3,5.\]
\[\boxed{\text{822.\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[27x^{3} - 1 - 27x^{3} + 36x = 17\]
\[36x = 18\]
\[x = \frac{1}{2} = 0,5\]
\[Ответ:x = 0,5.\]
\[x^{3} + 64 - x\left( x^{2} - 49 \right) = 15\]
\[x^{3} + 64 - x^{3} + 49x = 15\]
\[49x = - 49\]
\[x = - 1\]
\[Ответ:\ x = - 1.\]
\[x^{3} + 216 - x\left( x^{2} - 18x + 81 \right) =\]
\[= 18x^{2} - 54x\]
\[x^{3} + 216 - x^{3} + 18x^{2} - 81x =\]
\[= 18x^{2} - 54x\]
\[- 27x = - 216\]
\[x = 8\]
\[Ответ:x = 8.\]