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43 lines
1.6 KiB
TeX
43 lines
1.6 KiB
TeX
% Thanks to Claudio Fiandrino for his help
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% Source: http://tex.stackexchange.com/a/75695/5645
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\documentclass{article}
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\usepackage[pdftex,active,tightpage]{preview}
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\setlength\PreviewBorder{2mm}
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\usepackage{amssymb,amsmath}
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\usepackage{pgfplots}
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\pgfplotsset{compat=1.6}
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\begin{document}
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\begin{preview}
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\begin{tikzpicture}
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\begin{axis}[
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axis lines=middle,
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width=15cm, height=15cm, % size of the image
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grid = both,
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grid style={dashed, gray!30},
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enlargelimits=true,
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xmin=-1, % start the diagram at this x-coordinate
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xmax= 1, % end the diagram at this x-coordinate
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ymin= 0, % start the diagram at this y-coordinate
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ymax= 1, % end the diagram at this y-coordinate
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/pgfplots/xtick={-1,-0.8,...,1}, % make steps of length 0.2
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/pgfplots/ytick={0,0.1,...,1}, % make steps of length 0.1
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axis background/.style={fill=white},
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ylabel=y,
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xlabel=x,]
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\addplot[domain=-1:1, ultra thick,samples=100,blue] {1};
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\label{plot one}
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\addplot[domain=-1:1, ultra thick,samples=100,red] {0};
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\label{plot two}
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\node [draw,fill=white] at (rel axis cs: 0.8,0.8) {\shortstack[l]{
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$f(x) =
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\left\lbrace\begin{array}{@{}l@{}l@{}l@{}}
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\tikz[baseline=-0.5ex]\node{\ref{plot one}}; \phantom{1cm}& 1 & \text{ if } x \in \mathbb{Q}\\
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\tikz[baseline=-0.5ex]\node{\ref{plot two}}; & 0 & \text{ if } x \in \mathbb{R} \setminus \mathbb{Q}
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\end{array}\right.
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$}};
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\end{axis}
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\end{tikzpicture}
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\end{preview}
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\end{document}
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