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34 lines
1.2 KiB
TeX
34 lines
1.2 KiB
TeX
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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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\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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legend style={at={(0.8,0.8)}, anchor=north}]
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\addplot[domain=-1:1, ultra thick,samples=100,red] {1};
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\addplot[domain=-1:1, ultra thick,samples=100,blue] {0};
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\legend{$1 \text{, if } x \in \mathbb{Q}$, $0 \text{, if } x \in \mathbb{R} \setminus \mathbb{Q}$}
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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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