\[\boxed{\text{182\ (182).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
Пояснение.
Решение.
\[\textbf{а)}\ y = \frac{x + 8}{x - 2} = \frac{x - 2 + 10}{x - 2} =\]
\[= \frac{x - 2}{x - 2} + \frac{10}{x - 2} = 1 + \frac{10}{x - 2};\]
\[x = 2\ \ \ и\ \ \ y = 1 \Longrightarrow асимптоты.\]
\[\textbf{б)}\ y = - \frac{x - 8}{x + 3} =\]
\[= - \frac{x + 3 - 11}{x + 3} =\]
\[= - \left( \frac{x + 3}{x + 3} - \frac{11}{x + 3} \right) =\]
\[= - \left( 1 + \frac{- 11}{x + 3} \right) = \frac{11}{x + 3} - 1;\]
\[x = - 3\ \ \ и\ \ y = - 1 \Longrightarrow асимптоты.\]
\[\boxed{\text{182.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[y = \sqrt{\text{kx}}\]
\[\textbf{а)}\ k = 2;\ \ y = \sqrt{2x}:\]
\[\textbf{б)}\ k = 0,5 = \frac{1}{2};\ \ y = \sqrt{\frac{1}{2}x}:\]
\[Чем\ меньше\ k,\ тем\ больше\ \]
\[график\ y = \sqrt{\text{kx}}\ сжат\ к\ оси\ \text{x.}\]