如何在 LaTeX 中绘制此图形

Question

我需要帮助在 LaTeX 中绘制特定图形

Answer 1

恕我直言，这不是一张自由绘制的图表。

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16}
\begin{document}
\begin{tikzpicture}
\begin{axis}[xlabel=$x$, ylabel=$y$,ymax=4,ymin=-4,unbounded coords=jump,
 axis lines=middle,title style={at={(1,1)},anchor=north east},
 title={$y=f(x)$},xtick={-2,0,2,4},ytick={-1},
 ]
 \addplot[blue,samples=101,domain=-7:3] {-1/(x*(x-3))};
 \addplot[blue,-latex] coordinates {(3,-1) (5,-1) (7,-3)};
 \draw[fill=white] (3,-1) circle (1.5pt);
 \draw[fill] (5,-1) circle (1.5pt);
 \draw (3,4) -- (3,-4);
\end{axis}
\end{tikzpicture}
\end{document}

或者一些包含更多 π 的东西，为即将到来的 π 日做准备。（这只是说有无数个看起来相似的函数。）

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.16,width=12cm,height=7cm}
\begin{document}
\begin{tikzpicture}
\begin{axis}[xlabel=$x$, ylabel=$y$,ymax=4,ymin=-4,unbounded coords=jump,
 axis lines=middle,title style={at={(1,1)},anchor=north east},
 title={$y=f(x)$},xtick={-2,0,2,4},ytick={-1},
 ]
 \addplot[blue,samples=51,domain=-7:-0.02] {-1/pow(abs(x),pi/2)};
 \addplot[blue,samples=31,domain=0:3] {pow(abs(x-1.5),pi)};
 \addplot[blue,-latex] coordinates {(3,-1) (5,-1) (8,-3)};
 \draw[fill=white] (3,-1) circle (1.5pt);
 \draw[fill] (5,-1) circle (1.5pt);
 \draw (3,4) -- (3,-4);
\end{axis}
\end{tikzpicture}
\end{document}