Исследуйте функцию y=(x-3)/(5-x)

Question

Вопрос:

Ответ:

Accepted Answer

\[y = \frac{x - 3}{5 - x} = - \frac{x - 5 + 2}{x - 5} =\]

\[= - 1 - \frac{2}{x - 5}\]

\[ООФ:\ \ \ ( - \infty;\ 5) \cup (5; + \infty).\]

\[При\ x_{1} > x_{2};\ \ f\left( x_{1} \right) > f\left( x_{2} \right).\]

\[Функция\ монотонно\ \]

\[возрастает.\]

\[x\]	\[0\]	\[1\]	\[3\]	\[4\]	\[6\]	\[7\]	\[9\]
\[y\]	\[- 0,6\]	\[- 0,5\]	\[0\]	\[1\]	\[- 3\]	\[- 2\]	\[- 1,5\]