54 lines
1.6 KiB
Plaintext
54 lines
1.6 KiB
Plaintext
\begin{tikzpicture}
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[line cap=round,line join=round,x=1cm,y=1cm]
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\tikzset{
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every pin/.style={fill=yellow!50!white,rectangle,rounded corners=3pt,font=\tiny},
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small dot/.style={fill=black,circle,scale=0.3},}
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\begin{axis}[
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x=2cm,y=2cm,
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axis lines=middle,
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axis line style = {-latex},
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xmin=-0.75,
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xmax=3.75,
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ymin=-0.5,
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ymax=3.5,
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ytick=\empty,
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xtick=\empty,
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xlabel=$x$,
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ylabel=$y$,
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extra x ticks={0.75, 2, 2.5,2.8},
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extra x tick labels={$x_1$, $x_3$, $x_0$, $x_2$},
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extra y ticks={0.64, 1.5, 2.0625, 2.46},
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extra y tick labels={$f(x_1)$, $f(x_3)$, $g$ , $f(x_2)$},
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]
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\addplot[domain=0.5:3.1, blue, line width=1,samples=500] {0.25*(x^2)+0.5};
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\draw [line width=0.1] (axis cs: 0.75,-0.05) -- (axis cs: 0.75,0.640625);
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\draw [line width=0.1] (axis cs: -0.05,0.640625) -- (axis cs: 0.75,0.640625);
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\draw [ultra thin] (axis cs: 2,-0.05) -- (axis cs: 2,1.5);
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\draw [ultra thin] (axis cs: -0.05,1.5) -- (axis cs: 2,1.5);
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\draw [loosely dashed, ultra thin] (axis cs: 2.5,-0.05) -- (axis cs: 2.5,2.0625);
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\draw [loosely dashed, thin] (axis cs: -0.05,2.0625) -- (axis cs: 2.5,2.0625);
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\draw [ultra thin] (axis cs: 2.8,-0.05) -- (axis cs: 2.8,2.46);
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\draw [ultra thin] (axis cs: -0.05,2.46) -- (axis cs: 2.8,2.46);
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\addplot[color=blue!80!black, only marks, style={mark=*}] coordinates {(0.75,0.640625)};
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\addplot[color=blue!80!black, only marks, style={mark=*}] coordinates {(2,1.5)};
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\addplot[color=blue, only marks, fill=white] coordinates {(2.5,2.0625)};
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\addplot[color=blue!80!black, only marks, style={mark=*}] coordinates {(2.8,2.46)};
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\node () at (axis cs:2.5,2.8) {$\displaystyle y=\left(x\right)$};
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\end{axis}
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\end{tikzpicture}
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