Tikzpicture zeigt keine mehrfachen Fillbetween-Auflösungen an

Question

Ich habe folgenden Code innerhalb einer Beamer-Präsentation:

\begin{frame}[c]{ }
\frametitle{Section 5.2: Definite Integral}  


\begin{center}
\begin{tikzpicture}[scale =1]
  \begin{axis}[
    axis lines=center,
    grid=major,
    xmin=-12.5,
    xmax=12.5,
    ymin=-10.5,
    ymax=10.5,
    xtick = {-12,-10,...,12}, 
    ytick = {-10,-8,...,10}, 
    yticklabel style = {font=\tiny,xshift=0.5ex},
    xticklabel style = {font=\tiny,yshift=0.5ex},
    no marks,
    axis line style={thick, <->},  
    ]
\addplot+[-, samples = 200, thin, black, domain = -12:12 , name path=A] {0};          
\addplot+[<-, samples = 200, thick, blue, domain = -11:-4 , name path=B] {0.5*(x + 4) + 4};       
\addplot+[-, samples = 200, thick, blue, domain = -4:-0 , name path=C] {4};   
\addplot+[-, samples = 200, thick, blue, domain = 0:6, name path=D] {-2*x+4};  
\addplot+[->, samples = 200, thick, blue, domain = 6:10.25, name path=E] {4*(x - 6)-8};
\addplot+[red, opacity = 0.3] fill between[of=A and B,soft clip={domain=-8:-4}]; % filling 
\addplot+[red, opacity = 0.3] fill between[of=A and C,soft clip={domain=-4:-0}]; % filling    
\addplot+[red, opacity = 0.3] fill between[of=A and D,soft clip={domain=0:6}]; % filling  
\addplot+[red, opacity = 0.3] fill between[of=A and E,soft clip={domain=6:10}]; % filling                     
\node[blue] at (axis cs:7,7){{\tiny$y = g(t)$}};            
\end{axis}
\end{tikzpicture}
\end{center} 
\end{frame}

was zu folgendem Bild führt:

Ich möchte den gesamten Bereich unter der Kurve von t = -8 bis t = 10 ausfüllen, aber es wird nur der erste Teil ausgefüllt. Wie kann ich das beheben?

Answer 1

Ich würde Ihnen raten, wenn möglich eine einzelne zu verwenden plot. Ich habe Ihre mit denselben Koordinaten repliziert (die ungenauen Pfade habe ich übereinandergelegt und sie passen perfekt zusammen). Ich werde Ihnen mit Ihrem Code auch die Lösung geben, damit Sie wählen können.

Dein Code

\documentclass[tikz, margin=10pt]{standalone}
\usepackage{pgfplots}

\pgfplotsset{compat=1.17}
\usepgfplotslibrary{fillbetween}

\begin{document}
\begin{tikzpicture}[scale =1]
    \begin{axis}[
      axis lines=center,
      grid=major,
      xmin=-12.5,
      xmax=12.5,
      ymin=-10.5,
      ymax=10.5,
      xtick = {-12,-10,...,12}, 
      ytick = {-10,-8,...,10}, 
      yticklabel style = {font=\tiny,xshift=0.5ex},
      xticklabel style = {font=\tiny,yshift=0.5ex},
      no marks,
      axis line style={thick, <->},  
      ]
      \path[name path=axis] (axis cs:-10,0) -- (axis cs:12,0);
    \addplot+[-, samples = 200, thin, black, domain = -12:12 , name path=A] {0};          
    \addplot+[<-, samples = 200, thick, blue, domain = -11:-4 , name path=B] {0.5*(x + 4) + 4};       
    \addplot+[-, samples = 200, thick, blue, domain = -4:-0 , name path=C] {4};   
    \addplot+[-, samples = 200, thick, blue, domain = 0:6, name path=D] {-2*x+4};  
    \addplot+[->, samples = 200, thick, blue, domain = 6:10.25, name path=E] {4*(x - 6)-8};
    \addplot+[red, opacity = 0.3] fill between[of=A and B,soft clip={domain=-8:-4}]; % filling 
    \addplot+[red, opacity = 0.3] fill between[of=A and C,soft clip={domain=-4:-0}]; % filling    
    \addplot+[red, opacity = 0.3] fill between[of=A and D,soft clip={domain=0:6}]; % filling  
    \addplot+[red, opacity = 0.3] fill between[of=A and E,soft clip={domain=6:10}]; % filling                     
  \node[blue] at (axis cs:7,7){{\tiny$y = g(t)$}};            
  \end{axis}
  \end{tikzpicture}
\end{document}

Einzelgrundstück

\documentclass[tikz, margin=10pt]{standalone}
\usepackage{pgfplots}

\pgfplotsset{compat=1.17}
\usepgfplotslibrary{fillbetween}

\begin{document}
\begin{tikzpicture}
    \begin{axis}[
      axis lines=center,
      grid=major,
      xmin=-12.5,
      xmax=12.5,
      ymin=-10.5,
      ymax=10.5,
      xtick = {-12,-10,...,12}, 
      ytick = {-10,-8,...,10}, 
      yticklabel style = {font=\tiny,xshift=0.5ex},
      xticklabel style = {font=\tiny,yshift=0.5ex},
      no marks,
      axis line style={thick, <->},  
      ]
    \addplot+[<->, samples=200, thick, blue, name path=myplot] coordinates {
        (-11,.5) (-4,4) (0,4) (6,-8) (10.25,9)
    };
    \path[name path=axis] (axis cs:-10,0) -- (axis cs:12,0);
    \addplot+[red, opacity = 0.3] fill between[of=myplot and axis,soft clip={domain=-8:10}]; % filling                     
\node[blue] at (axis cs:7,7){{\tiny$y = g(t)$}};            
\end{axis}
\end{tikzpicture}
\end{document}

Und das Ergebnis ist in beiden Fällen: