Исследуйте функцию y=(x-5)/(3-x)

Question

Вопрос:

Ответ:

Accepted Answer

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

\[= - 1 + \frac{2}{x - 3}\]

\[ООФ:\ \ \ ( - \infty;\ 3) \cup (3; + \infty).\]

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

\[Функция\ монотонно\ убывает.\]

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