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+%
+% tkz-euclide (14/01/2011)
+%
+% Coding (utf8) Creator (TeX) Producer (pdfeTeX)
+% Author Alain Matthes
+\input{tkzfctpreamble.ltx}
+
+\begin{document}
+
+\begin{tikzpicture}[xscale=4,yscale=1.5]
+ \tkzInit[xmin=0,xmax=3,ymax=3,ymin=-4]
+ \tkzGrid(0,-4)(3,3)
+ \tkzAxeXY
+ \tkzClip
+ \tkzVLine[color=red,style=dashed]{1/3}
+ \tkzFct[color=red,domain = 0.35:3]{-3/(x*x) +4/(3*x-1)}
+ \tkzFct[color=blue,domain = 0.35:3]{-3/(x*x) +27/(4*(3*x-1))}
+ \tkzFct[color=orange,domain = 0.35:3]{-3/(x*x) +8/(3*x-1)}
+ \tkzFct[color=green,domain = 0.35:3]{-3/(x*x) +7/(3*x-1)}
+ \tkzText[draw,fill = white,text=Maroon](2,-2)%
+ {$f(x)=-\dfrac{3}{x^2}+\dfrac{8\alpha}{3x-1}$ \hspace{.5cm}%
+ avec $\alpha \in%
+ \left\{\dfrac{1}{2}~;~\dfrac{27}{32}~;~\dfrac{7}{8}~;~1\right\}$}
+\end{tikzpicture}
+
+\end{document}