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Band2/Grafiken/B2_4.tikz

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+\begin{tikzpicture}
+[line cap=round,line join=round,x=1cm,y=1cm]
+\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=-0.75,
+xmax=3.75,
+ymin=-0.5,
+ymax=3.5,
+ytick=\empty,
+xtick=\empty,
+xlabel=$x$,
+ylabel=$y$,
+extra x ticks={0.75, 2, 2.5,2.8},
+extra x tick labels={$x_1$, $x_3$, $x_0$, $x_2$},
+extra y ticks={0.64, 1.5, 2.0625, 2.46},
+extra y tick labels={$f(x_1)$, $f(x_3)$, $g$ , $f(x_2)$},
+]
+
+\addplot[domain=0.5:3.1, blue, line width=1,samples=500] {0.25*(x^2)+0.5};
+
+
+\draw [line width=0.1] (axis cs: 0.75,-0.05) -- (axis cs: 0.75,0.640625);
+\draw [line width=0.1] (axis cs: -0.05,0.640625) -- (axis cs: 0.75,0.640625);
+
+\draw [ultra thin] (axis cs: 2,-0.05) -- (axis cs: 2,1.5);
+\draw [ultra thin] (axis cs: -0.05,1.5) -- (axis cs: 2,1.5);
+
+\draw [loosely dashed, ultra thin] (axis cs: 2.5,-0.05) -- (axis cs: 2.5,2.0625);
+\draw [loosely dashed, thin] (axis cs: -0.05,2.0625) -- (axis cs: 2.5,2.0625);
+
+\draw [ultra thin] (axis cs: 2.8,-0.05) -- (axis cs: 2.8,2.46);
+\draw [ultra thin] (axis cs: -0.05,2.46) -- (axis cs: 2.8,2.46);
+
+
+\addplot[color=blue!80!black, only marks, style={mark=*}] coordinates {(0.75,0.640625)};
+\addplot[color=blue!80!black, only marks, style={mark=*}] coordinates {(2,1.5)};
+
+\addplot[color=blue, only marks, fill=white] coordinates {(2.5,2.0625)};
+
+\addplot[color=blue!80!black, only marks, style={mark=*}] coordinates {(2.8,2.46)};
+
+
+\node () at (axis cs:2.5,2.8) {$\displaystyle y=\left(x\right)$};
+
+\end{axis}
+
+
+\end{tikzpicture}