求 f(x) 图下几个区域的最好方法是什么?

求 f(x) 图下几个区域的最好方法是什么?

在此处输入图片描述

代码:

\documentclass[dvipsnames]{article}
\usepackage{pgfplots}
\usetikzlibrary{babel,calc,backgrounds,quotes,angles,patterns,decorations.markings,intersections,arrows,arrows.meta}
\pgfplotsset{compat=newest}                       
\usepgfplotslibrary{fillbetween}

\begin{document}

\begin{tikzpicture}
  \begin{axis}[
                axis lines = middle,
                xmin = -1,
                ymin = -3,
                xmax = 6,
                ymax = 4,
                domain = -1:10,
                xtick = {1,2,...,5},
                ytick = \empty,
                xlabel style={below right},
                ylabel style={above left},
                x tick label style={below},
                xlabel = {$x$}, 
                ylabel = {$f$},
              ]    
              
    \addplot[very thick, color=Mahogany, domain=0:2, name path=p1] {3 - x};
    \addplot[very thick, color=Mahogany, domain=2:5, name path=p2] {3 - x};
    
    \addplot[domain=0:2, name path=x1] {0};
    \addplot[domain=2:5, name path=x2] {0};

    \addplot [fill=orange] fill between[of = p1 and x1];
    \addplot [fill=gray] fill between[of = p2 and x2];
  \end{axis}
\end{tikzpicture}

\end{document}

有没有其他方法(更优雅)来绘制此图,而无需在两个域上拆分 5-x 的图?并且无需为每个部分制作 x1 和 x2。

提前致谢。

答案1

您可以使用soft clip修复域限制

\documentclass[dvipsnames]{article}
\usepackage{pgfplots}
\usetikzlibrary{babel,calc,backgrounds,quotes,angles,patterns,decorations.markings,intersections,arrows,arrows.meta}
\pgfplotsset{compat=newest}                       
\usepgfplotslibrary{fillbetween}

\begin{document}

\begin{tikzpicture}
  \begin{axis}[
                axis lines = middle,
                xmin = -1,
                ymin = -3,
                xmax = 6,
                ymax = 4,
                domain = -1:10,
                xtick = {1,2,...,5},
                ytick = \empty,
                xlabel style={below right},
                ylabel style={above left},
                x tick label style={below},
                xlabel = {$x$}, 
                ylabel = {$f$},
              ]    
              
    \addplot[very thick, color=Mahogany, domain=0:5, name path=p1] {3 - x};
%    \addplot[very thick, color=Mahogany, domain=2:5, name path=p2] {3 - x};
    
    \addplot[domain=0:5, name path=x1] {0};
%    \addplot[domain=2:5, name path=x2] {0};

    \addplot [fill=orange] fill between[of = p1 and x1, soft clip={domain=0:2}];
    \addplot [fill=gray] fill between[of = p1 and x1, soft clip={domain=2:5}];
  \end{axis}
\end{tikzpicture}

\end{document}

在此处输入图片描述

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