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Add function graphs

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Martin Thoma 2021-01-14 13:16:30 +01:00
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tikz/logistic-functions/logistic-functions.tex Normal file
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\documentclass[varwidth=false, border=2pt]{standalone}
\usepackage{pgfplots}
\usepackage{tikz}
\usepackage{nicefrac}
\pgfplotsset{every axis legend/.append style={
at={(0,0)},
anchor=north east}}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
axis x line=middle,
axis y line=middle,
grid = major,
width=16cm,
height=8cm,
grid style={dashed, gray!30},
xmin=-5, % start the diagram at this x-coordinate
xmax= 5, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= 1.1, % end the diagram at this y-coordinate
xlabel=$x$,
ylabel=$y$,
legend cell align=left,
legend pos=south east,
legend style={draw=none},
tick align=outside,
enlargelimits=false]
% plot the function
\addplot[domain=-5:5, red, ultra thick,samples=500] {1/(1+exp(-1*(x - 0)))};
\addplot[domain=-5:5, blue, ultra thick,dotted,samples=500] {1/(1+exp(-2*(x - 0)))};
\addplot[domain=-5:5, green!50!black, ultra thick,dashed,samples=500] {1/(1+exp(-1*(x - 1)))};
\legend{$\frac{1}{1 + e^{-x}}$,$\frac{1}{1 + e^{-2 \cdot x}}$,$\frac{1}{1 + e^{-(x-1)}}$}
\end{axis}
\end{tikzpicture}
\end{document}