9.
探究:某班“数学兴趣小组”根据学习函数的经验,对函数\(y=\dfrac{x}{x-1}\)的图象和性质进行了探究,探究过程如下,请补充完整:
\((1)\)自变量\(x\)的取值范围是____________;
\((2)\)下表是\(y\)与\(x\)的几组对应数值:
\(x\) | \(…\) | \(-3\) | \(-2\) | \(-1\) | \(-\dfrac{1}{2}\) | \(0\) | \(\dfrac{1}{4}\) | \(\dfrac{1}{2}\) | \(\dfrac{3}{4}\) | \(n\) | \(2\) | \(3\) | \(4\) | \(…\) |
\(y\) | \(…\) | \(\dfrac{3}{4}\) | \(\dfrac{2}{3}\) | \(m\) | \(\dfrac{1}{3}\) | \(0\) | \(-\dfrac{1}{3}\) | \(-1\) | \(-3\) | \(5\) | \(2\) | \(\dfrac{3}{2}\) | \(\dfrac{4}{3}\) | \(…\) |
\(①\)表格中的\(m=\)__;\(n=\)________;
\(②\)在平面直角坐标系中,描出了以表中各对对应值为坐标的点\(.\) 根据描出的点,画出该函数的图象;
![](https://www.ebk.net.cn/tikuimages/2/2018/300/shoutiniao25/4f5c4c6c24aff6378dcc0bca2df2234d.png)
\((3)\)结合画出的函数图象,写出该函数的一条性质:
________________________________________.