LaTex，使用 tikz 绘图

Question

有人能帮我用 tikz 在 LaTeX 中画这个吗

这就是我目前所拥有的

\def\FunctionF(#1){3/(#1)}
\begin{tikzpicture}
\begin{axis}[
        axis y line=center,
        axis x line=middle, 
        axis on top=true,
        xmin=-4,
        xmax=4,
        ymin=-4,
        ymax=4,
        height=8.0cm,
        width=8.0cm,
        xtick=none,
        ytick={1},
        xlabel=$x$,
        ylabel=$y$
   ]
\addplot[name path=F] [domain=-4:4, samples=100, mark=none,thick]
 {\FunctionF(x)};
\draw [draw=none,name path=B] (axis cs:0,-4)--(axis cs:0,0)--(axis cs:-4,0)--(axis cs:-4,-4)--(axis cs:0,0);
\addplot[draw=none,name path=C] (axis cs:-4,0)--(axis cs:4,0);
\addplot[pattern=north east lines] fill between[of=F and C, soft clip={domain=4:0.7}];
\end{axis}
\end{tikzpicture}\\[0.2cm]

Answer 1

如果我正确理解了你的问题，那么你正在寻找类似这样的内容：

上面的图片由以下人员生成：

\documentclass[margin=3mm]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections, patterns}

\begin{document}
\def\FunctionF(#1){3/(#1)}
    \begin{tikzpicture}
\begin{axis}[
    height=8.0cm,   width=8.0cm,
    axis lines=center,
    axis on top,
    xmin=-4, xmax=4,
    ymin=-4, ymax=4,
    xtick=\empty,
    ytick={1},
    xlabel=$x$,
    ylabel=$y$
    every axis plot post/.append style={ultra thick, color=blue!30},
    domain=-4:4, samples=100, mark=none,
]
\addplot[name path=F]   {\FunctionF(x)};
\path[name path=B]      (-4,4) -- (0, 4)
                        (0,-4) -- (4,-4);
\addplot[pattern=north east lines, pattern color=gray!50]
         fill between[of=F and B];
\end{axis}
    \end{tikzpicture}
\end{document}