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Band2/Grafiken/B2_9.tikz

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+\begin{tikzpicture}
+[line cap=round,line join=round,x=1cm,y=1cm,scale=1]
+\tikzset{
+        every pin/.style={fill=yellow!50!white,rectangle,rounded corners=3pt,font=\tiny},
+        small dot/.style={fill=black,circle,scale=0.3},}
+\begin{axis}[
+x=2cm,y=2cm,
+axis lines=middle,
+axis line style = {-latex},
+xmin=-0.5,
+xmax=3,
+ymin=-0.1,
+ymax=2.5,
+ytick=\empty,
+xtick=\empty,
+xlabel=$x$,
+ylabel=$y$,
+extra x ticks  = {0.75, 1.25,1.75,2.25},
+extra x tick labels= {$x_0$,  $x_3$, $x_2$, $x_1$},
+extra y ticks  = {0.71232, 1.22314, 1.55962, 1.81093},
+extra y tick labels= {$g_r$,  $f(x_3)$, $f(x_2)$, $f(x_1)$}
+]
+
+%\addplot[domain=-2.7:-1.1, blue, line width=1,samples=500] {1/(x^2-1)}; 
+%\addplot[domain=1.1:2.7, blue, line width=1,samples=500] {1/(x^2-1)}; 
+\addplot[domain=0.75:2.65, blue, line width=1,samples=500] {1+ln(x)}; 
+
+
+\addplot[color=blue, only marks, fill=white] coordinates {(0.75,0.71232)};
+
+\draw [dashed, blue] (axis cs: 0.75,-0.05) -- (axis cs: 0.75,0.71232);
+
+\draw [dashed, blue] (axis cs: -0.05,0.71232) -- (axis cs: 0.75,0.71232);
+
+\addplot[color=blue, only marks] coordinates {(1.25,1.22314)};
+
+
+\draw [ blue, thin] (axis cs: 1.25,-0.05) -- (axis cs: 1.25,1.22314);
+
+\draw [ blue, thin] (axis cs: -0.05, 1.22314) -- (axis cs: 1.25,1.22314);
+
+\addplot[color=blue, only marks] coordinates {(1.75,1.55962)};
+
+\draw [ blue, thin] (axis cs: 1.75,-0.05) -- (axis cs: 1.75,1.55962);
+
+\draw [ blue, thin] (axis cs: -0.05, 1.55962) -- (axis cs: 1.75,1.55962);
+
+\addplot[color=blue, only marks] coordinates {(2.25,1.81093)};
+
+
+\draw [ blue, thin] (axis cs: 2.25,-0.05) -- (axis cs: 2.25,1.81093);
+
+\draw [ blue, thin] (axis cs: -0.05, 1.81093) -- (axis cs: 2.25,1.81093);
+
+\end{axis}
+\end{tikzpicture}