Plot reciprocal function with tkiz
The pgfplots
package has a plot drawing function that takes the parameter restrict y to domain
. It takes care of the clipping and doesn't connect the points on the left and right of the singularity.
\documentclass{standalone}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
restrict y to domain=-10:10,
samples=1000,
minor tick num=1,
xmin = -10, xmax = 10,
ymin = -10, ymax = 10,
unbounded coords=jump,
axis x line=middle,
axis y line=middle]
\addplot[mark=none, domain=-10:10] {(1-x)/(x^2-1)};
\end{axis}
\end{tikzpicture}
\end{document}
With TikZ version 2 :
\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=.5]
\draw[->] (-10, 0) -- (10, 0) node[right] {$x$};
\draw[->] (0, -10) -- (0, 10) node[above] {$y$};
\draw[color=red, domain=-10:-0.1,samples=200] plot[id=x1] function{1/x};
\draw[color=red, domain=0.1:10,samples=200] plot[id=x2] function{1/x} node[below right = 6pt] { $f(x) =1/x$ };
\end{tikzpicture}
\end{document}