Posición del texto dentro de una tabla.

Question

¿Cómo puedo conseguir que fórmulas o textos se ubiquen centralmente dentro de la celda de una tabla? Aquí está mi código:

\documentclass[10pt,letterpaper]{article}
\usepackage[lmargin=1in,rmargin=1in,tmargin=1in,bmargin=1in]{geometry}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{
        % use this `compat' level or higher, so TikZ coordinates don't have to
        % be prefixed by `axis cs:'
        compat=1.11,
    }

\usepackage{tabularx}
\newcolumntype{C}{>{\centering\arraybackslash}X}





% -------------------
% Content
% -------------------
\begin{document}



\begin{center}
\pgfplotsset{width=0.8\linewidth,
             scale only axis,
             axis lines = middle,
             ticks=none,
             xlabel={$x$},
             ylabel={$y$},
             xlabel style={right},
             ylabel style={above},
             xmin=-4,
             xmax=4,
             %
             every axis plot post/.append style={ultra thick, smooth},
            }
\begin{tabularx}{\linewidth}{|C|C|C|}
    \hline
& $n$~\textbf{gerade} & $n$~\textbf{ungerade} \\
\hline
$a>0$ & \begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};% node [pos=0.7, below right] {\footnotesize{$x^2$}};
\node[color=black, font=\footnotesize] at (axis cs: 2.2,3) {$x^2$}; %node [pos=0.1, below right] {$x^2$};
\end{axis}
%\node at (0.5,-0.2) {$\alpha>0$};
\end{tikzpicture} 
\medskip

Der Graph der Potenzfunktion verl\"auft von $+\infty$ nach $+\infty$ & \begin{tikzpicture}
    \begin{axis}[ymin=-4, ymax=4]
    \addplot [domain=-3:3] {x^3}; %node [pos=0.8, above right] {\footnotesize{$x^3$}};
\node[color=black, font=\footnotesize] at (axis cs: 2.2,3) {$x^3$}; %node [pos=0.1, below right] {$x^2$};
    \end{axis}
    %\node at (0.5,-0.2) {{$\alpha<0$}};
    \end{tikzpicture} 
\medskip

Der Graph der Potenzfunktion verl\"auft von $-\infty$ nach $+\infty$\\
    \hline
$a < 0$  & \begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {-x^2} node [pos=0.9, below right] {$f(x)=-x^2$};
\node[color=black, font=\footnotesize] at (axis cs: 2.5,-3) {$-x^2$}; %node [pos=0.1, below right] {$x^2$};
\end{axis}
%\node at (0.5,-0.2) {$\alpha>0$};
\end{tikzpicture} 
\medskip

Der Graph der Potenzfunktion verl\"auft von $-\infty$ nach $-\infty$ & \begin{tikzpicture}
    \begin{axis}[ymin=-4, ymax=4]
    \addplot [domain=-3:3] {-x^3} node [pos=0.9, above right] {$f(x)=-x^3$};
\node[color=black, font=\footnotesize] at (axis cs: 2.3,-3) {$-x^3$}; %node [pos=0.1, below right] {$x^2$};
    \end{axis}
    %\node at (0.5,-0.2) {{$\alpha<0$}};
    \end{tikzpicture} 
\medskip

Der Graph der Potenzfunktion verl\"auft von $+\infty$ nach $-\infty$\\
    \hline 

$|a| > 1$  & \begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};
\node[color=black, font=\footnotesize] at (axis cs: 1.5,1) {$x^2$}; %node [pos=0.1, below right] {$x^2$};
\addplot [color=red, domain=-4:4] {2*x^2} node [pos=0.9, below right] {$2x^2$};
\draw [-latex,color=red] (2,2) to (1,2);
\node at (2.5,2) {\small \textcolor{red}{$2x^2$}};
\end{axis}
%\node at (0.5,-0.2) {$\alpha>0$};
\end{tikzpicture} \medskip  & \begin{tikzpicture}
    \begin{axis}[ymin=-4, ymax=4]
    \addplot [domain=-3:3] {x^3};% node [pos=0.9, above right] {$x^3$};
\node[color=black, font=\footnotesize] at (axis cs: 1.5,1) {$x^3$}; %node [pos=0.1, below right] {$x^2$};
    \addplot [color=red, domain=-3:3] {2*x^3};% node [pos=0.9, above right] {$x^3$};
\draw [-latex,color=red] (2.2,3.456) to (1.2,3.456);
\node at (2.7,3.456) {\small \textcolor{red}{$2x^3$}};
    \end{axis}
    %\node at (0.5,-0.2) {{$\alpha<0$}};
    \end{tikzpicture} \medskip \\ 
&  \multicolumn{2}{c|}{ Dehnung in $y$-Richtung}\\
\hline

$|a| < 1$  & \begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};
\draw [-latex] (2.5,2.25) to (1.5,2.25);
\node at (2.85,2.25) {\small $x^2$};
\addplot [color=red, domain=-4:4] {(1/2)*x^2};
\node[color=red, font=\footnotesize] at (axis cs: 2,0.5) {$\frac{1}{2}x^2$}; %node [pos=0.1, below right] {$x^2$};
\end{axis}
%\node at (0.5,-0.2) {$\alpha>0$};
\end{tikzpicture} \medskip  & \begin{tikzpicture}
    \begin{axis}[ymin=-4, ymax=4]
    \addplot [domain=-3:3] {x^3};
\draw [-latex] (2.5,3.375) to (1.5,3.375);
\node at (2.85,3.375) {\small $x^2$};
    \addplot [color=red, domain=-3:3] {(1/2)*x^3};% node [pos=0.9, above right] {$x^3$};
\node[color=red, font=\footnotesize] at (axis cs: 2.1,1.5) {$\frac{1}{2}x^3$}; %node [pos=0.1, below right] {$x^2$};
    \end{axis}
    %\node at (0.5,-0.2) {{$\alpha<0$}};
    \end{tikzpicture} \medskip \\ 
&  \multicolumn{2}{c|}{ Stauchung in $y$-Richtung}\\
\hline
\end{tabularx}
    \end{center}

\end{document}

Como puede ver, el texto se encuentra relativamente abajo dentro de la primera columna.

Answer 1

Si su tabla consta de varios párrafos y una combinación de textos e imágenes, la alineación predeterminada siempre es la primera línea de base superior de cada celda. Para textos son caracteres inferiores. Para imágenes es un borde inferior. pfgplotstambién mantiene las líneas de base de sus dibujos en las esquinas inferiores del lado suroeste o izquierdo. Es por eso que los textos de la primera columna se ubican en la parte inferior de los ejes.

Una forma es utilizar anchorcada eje como configuración opcional y cambiar el punto para que diga centro. Otra forma es colocar baselineel conjunto tikzpictureen el centro del eje. Ambos enfoques mueven la línea de base predeterminada, sin importar qué textos en la primera celda se alinearán. Tenga en cuenta que este NO es el centro de la celda porque las celdas también contienen títulos que en este caso no están incluidos. Si desea una alineación media perfecta en la celda, utilice otras soluciones.

Para mover la línea base al centro de un eje, agregue lo siguiente al preámbulo:

\tikzset{
    baseline={([yshift=-0.7ex]current axis.center)},
}

yshiftes un argumento opcional para un mayor ajuste. Aquí, se trata simplemente de una compensación por la altura de los personajes.

El código completo:

\documentclass[10pt,letterpaper]{article}
\usepackage[margin=1in]{geometry}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}

\usepackage{tabularx}
\newcolumntype{C}{>{\centering\arraybackslash}X}

\tikzset{
    baseline={([yshift=-0.7ex]current axis.center)},
}

\pgfplotsset{
    width=1.8\linewidth,
    scale only axis,
    axis lines = middle,
    ticks=none,
    xlabel={$x$},
    ylabel={$y$},
    xlabel style={right},
    ylabel style={above},
    xmin=-4,
    xmax=4,
    %
    every axis plot post/.append style={ultra thick, smooth},
}


\begin{document}
\begin{tabularx}{\linewidth}{|C|C|C|}
    \hline
    & $n$~\textbf{gerade} & $n$~\textbf{ungerade} \\
    \hline
    $a>0$
    & \begin{tikzpicture}
          \begin{axis}[ymin=-4, ymax=4]
              \addplot [domain=-3:3] {x^2};% node [pos=0.7, below right] {\footnotesize{$x^2$}};
              \node[color=black, font=\footnotesize] at (axis cs: 2.2,3) {$x^2$}; %node [pos=0.1, below right] {$x^2$};
          \end{axis}
          %\node at (0.5,-0.2) {$\alpha>0$};
      \end{tikzpicture}
    \par\medskip
    \par Der Graph der Potenzfunktion verl\"auft von $+\infty$ nach $+\infty$
    & \begin{tikzpicture}
          \begin{axis}[ymin=-4, ymax=4]
              \addplot [domain=-3:3] {x^3}; %node [pos=0.8, above right] {\footnotesize{$x^3$}};
              \node[color=black, font=\footnotesize] at (axis cs: 2.2,3) {$x^3$}; %node [pos=0.1, below right] {$x^2$};
          \end{axis}
          %\node at (0.5,-0.2) {{$\alpha<0$}};
      \end{tikzpicture} 
      \par\medskip   
      \par Der Graph der Potenzfunktion verl\"auft von $-\infty$ nach $+\infty$ \\
    \hline
    $a < 0$
    & \begin{tikzpicture}
          \begin{axis}[ymin=-4, ymax=4]
              \addplot [domain=-3:3] {-x^2} node [pos=0.9, below right] {$f(x)=-x^2$};
              \node[color=black, font=\footnotesize] at (axis cs: 2.5,-3) {$-x^2$}; %node [pos=0.1, below right] {$x^2$};
          \end{axis}
          %\node at (0.5,-0.2) {$\alpha>0$};
      \end{tikzpicture} 
      \par \medskip
      \par Der Graph der Potenzfunktion verl\"auft von $-\infty$ nach $-\infty$
    & \begin{tikzpicture}
          \begin{axis}[ymin=-4, ymax=4]
              \addplot [domain=-3:3] {-x^3} node [pos=0.9, above right] {$f(x)=-x^3$};
              \node[color=black, font=\footnotesize] at (axis cs: 2.3,-3) {$-x^3$}; %node [pos=0.1, below right] {$x^2$};
          \end{axis}
          %\node at (0.5,-0.2) {{$\alpha<0$}};
      \end{tikzpicture} 
      \par\medskip
      \par Der Graph der Potenzfunktion verl\"auft von $+\infty$ nach $-\infty$ \\
      \hline
    $|a| > 1$
    & \begin{tikzpicture}
           \begin{axis}[ymin=-4, ymax=4]
               \addplot [domain=-3:3] {x^2};
               \node[color=black, font=\footnotesize] at (axis cs: 1.5,1) {$x^2$}; %node [pos=0.1, below right] {$x^2$};
               \addplot [color=red, domain=-4:4] {2*x^2} node [pos=0.9, below right] {$2x^2$};
               \draw [-latex,color=red] (2,2) to (1,2);
               \node at (2.5,2) {\small \textcolor{red}{$2x^2$}};
           \end{axis}
       %\node at (0.5,-0.2) {$\alpha>0$};
      \end{tikzpicture} \medskip 
    & \begin{tikzpicture}
          \begin{axis}[ymin=-4, ymax=4]
              \addplot [domain=-3:3] {x^3};% node [pos=0.9, above right] {$x^3$};
              \node[color=black, font=\footnotesize] at (axis cs: 1.5,1) {$x^3$}; %node [pos=0.1, below right] {$x^2$};
              \addplot [color=red, domain=-3:3] {2*x^3};% node [pos=0.9, above right] {$x^3$};
              \draw [-latex,color=red] (2.2,3.456) to (1.2,3.456);
              \node at (2.7,3.456) {\small \textcolor{red}{$2x^3$}};
          \end{axis}
          %\node at (0.5,-0.2) {{$\alpha<0$}};
      \end{tikzpicture} \medskip \\ 
    & \multicolumn{2}{c|}{ Dehnung in $y$-Richtung} \\
    \hline
    $|a| < 1$
    & \begin{tikzpicture}
          \begin{axis}[ymin=-4, ymax=4]
              \addplot [domain=-3:3] {x^2};
              \draw [-latex] (2.5,2.25) to (1.5,2.25);
              \node at (2.85,2.25) {\small $x^2$};
              \addplot [color=red, domain=-4:4] {(1/2)*x^2};
              \node[color=red, font=\footnotesize] at (axis cs: 2,0.5) {$\frac{1}{2}x^2$}; %node [pos=0.1, below right] {$x^2$};
          \end{axis}
          %\node at (0.5,-0.2) {$\alpha>0$};
      \end{tikzpicture}
    & \begin{tikzpicture}
          \begin{axis}[ymin=-4, ymax=4]
              \addplot [domain=-3:3] {x^3};
              \draw [-latex] (2.5,3.375) to (1.5,3.375);
              \node at (2.85,3.375) {\small $x^2$};
              \addplot [color=red, domain=-3:3] {(1/2)*x^3};% node [pos=0.9, above right] {$x^3$};
              \node[color=red, font=\footnotesize] at (axis cs: 2.1,1.5) {$\frac{1}{2}x^3$}; %node [pos=0.1, below right] {$x^2$};
          \end{axis}
          %\node at (0.5,-0.2) {{$\alpha<0$}};
      \end{tikzpicture} \medskip \\ 
    & \multicolumn{2}{c|}{ Stauchung in $y$-Richtung}\\
    \hline
\end{tabularx}
\end{document}

Answer 2

Necesitas ejecutar la instrucción.

\renewcommand{\tabularxcolumn}[1]{m{#1}}

en el preámbulo, después de cargar el tabularxpaquete. (La configuración predeterminada es \newcommand{\tabularxcolumn}[1]{p{#1}}.) Consulte la sección 4.2 de la guía del usuario deltabularxpaquete para más información.

\documentclass[10pt,letterpaper]{article}
\usepackage[margin=1in]{geometry}
\usepackage[T1]{fontenc}
\usepackage{tikz,pgfplots}
\pgfplotsset{compat=1.11}
\usepackage[ngerman]{babel}
\usepackage{tabularx,ragged2e}
\newcolumntype{C}{>{\centering\arraybackslash}X}
\renewcommand{\tabularxcolumn}[1]{m{#1}}

% -------------------
% Content
% -------------------
\begin{document}

\begin{center}

\pgfplotsset{width=0.8\linewidth,
             scale only axis,
             axis lines = middle,
             ticks=none,
             xlabel={$x$},
             ylabel={$y$},
             xlabel style={right},
             ylabel style={above},
             xmin=-4,
             xmax=4,
             %
             every axis plot post/.append style={ultra thick, smooth},
            }
\begin{tabularx}{\linewidth}{|wc{1.5in}|C|C|}
\hline
& $n$ gerade & $n$ ungerade \\
\hline

$a>0$ & 
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};% node [pos=0.7, below right] {\footnotesize{$x^2$}};
\node[color=black, font=\footnotesize] at (axis cs: 2.2,3) {$x^2$}; %node [pos=0.1, below right] {$x^2$};
\end{axis}
%\node at (0.5,-0.2) {$\alpha>0$};
\end{tikzpicture} 

\medskip

Der Graph der Potenzfunktion verläuft von $+\infty$ nach $+\infty$ 
& 
\begin{tikzpicture}
    \begin{axis}[ymin=-4, ymax=4]
    \addplot [domain=-3:3] {x^3}; %node [pos=0.8, above right] {\footnotesize{$x^3$}};
\node[color=black, font=\footnotesize] at (axis cs: 2.2,3) {$x^3$}; %node [pos=0.1, below right] {$x^2$};
    \end{axis}
    %\node at (0.5,-0.2) {{$\alpha<0$}};
    \end{tikzpicture}
     
\medskip

Der Graph der Potenzfunktion verläuft von $-\infty$ nach $+\infty$\\
\hline

$a < 0$  & 
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {-x^2} node [pos=0.9, below right] {$f(x)=-x^2$};
\node[color=black, font=\footnotesize] at (axis cs: 2.5,-3) {$-x^2$}; %node [pos=0.1, below right] {$x^2$};
\end{axis}
%\node at (0.5,-0.2) {$\alpha>0$};
\end{tikzpicture} 

\medskip

Der Graph der Potenzfunktion verläuft von $-\infty$ nach $-\infty$ 
& 
\begin{tikzpicture}
    \begin{axis}[ymin=-4, ymax=4]
    \addplot [domain=-3:3] {-x^3} node [pos=0.9, above right] {$f(x)=-x^3$};
\node[color=black, font=\footnotesize] at (axis cs: 2.3,-3) {$-x^3$}; %node [pos=0.1, below right] {$x^2$};
    \end{axis}
    %\node at (0.5,-0.2) {{$\alpha<0$}};
\end{tikzpicture} 
\medskip

Der Graph der Potenzfunktion verläuft von $+\infty$ nach $-\infty$\\
\hline 

$|a| > 1$  
& 
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};
\node[color=black, font=\footnotesize] at (axis cs: 1.5,1) {$x^2$}; %node [pos=0.1, below right] {$x^2$};
\addplot [color=red, domain=-4:4] {2*x^2} node [pos=0.9, below right] {$2x^2$};
\draw [-latex,color=red] (2,2) to (1,2);
\node at (2.5,2) {\small \textcolor{red}{$2x^2$}};
\end{axis}
%\node at (0.5,-0.2) {$\alpha>0$};
\end{tikzpicture} 

%\medskip  
& 
\begin{tikzpicture}
    \begin{axis}[ymin=-4, ymax=4]
    \addplot [domain=-3:3] {x^3};% node [pos=0.9, above right] {$x^3$};
\node[color=black, font=\footnotesize] at (axis cs: 1.5,1) {$x^3$}; %node [pos=0.1, below right] {$x^2$};
    \addplot [color=red, domain=-3:3] {2*x^3};% node [pos=0.9, above right] {$x^3$};
\draw [-latex,color=red] (2.2,3.456) to (1.2,3.456);
\node at (2.7,3.456) {\small \textcolor{red}{$2x^3$}};
    \end{axis}
    %\node at (0.5,-0.2) {{$\alpha<0$}};
    \end{tikzpicture} 
    
%\medskip 
\\ 
& \multicolumn{2}{c|}{ Dehnung in $y$-Richtung}\\
\hline

$|a| < 1$  
& 
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};
\draw [-latex] (2.5,2.25) to (1.5,2.25);
\node at (2.85,2.25) {\small $x^2$};
\addplot [color=red, domain=-4:4] {(1/2)*x^2};
\node[color=red, font=\footnotesize] at (axis cs: 2,0.5) {$\frac{1}{2}x^2$}; %node [pos=0.1, below right] {$x^2$};
\end{axis}
%\node at (0.5,-0.2) {$\alpha>0$};
\end{tikzpicture} 

\medskip  

& 

\begin{tikzpicture}
    \begin{axis}[ymin=-4, ymax=4]
    \addplot [domain=-3:3] {x^3};
\draw [-latex] (2.5,3.375) to (1.5,3.375);
\node at (2.85,3.375) {\small $x^2$};
    \addplot [color=red, domain=-3:3] {(1/2)*x^3};% node [pos=0.9, above right] {$x^3$};
\node[color=red, font=\footnotesize] at (axis cs: 2.1,1.5) {$\frac{1}{2}x^3$}; %node [pos=0.1, below right] {$x^2$};
    \end{axis}
    %\node at (0.5,-0.2) {{$\alpha<0$}};
\end{tikzpicture} 

\medskip \\ 
&  \multicolumn{2}{c|}{ Stauchung in $y$-Richtung}\\
\hline

\end{tabularx}
\end{center}

\end{document}

Answer 3

La respuesta ya la ha dado @Mico, pero podrías beneficiarte del poderosotabularray

\documentclass[10pt,letterpaper]{article}
\usepackage[lmargin=1in,rmargin=1in,tmargin=1in,bmargin=1in]{geometry}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{graphicx} 
\usepackage{tabularray}
\UseTblrLibrary{booktabs}


    
\pgfplotsset{
        compat=1.11,
        width=0.8\linewidth,
        scale only axis,
        axis lines = middle,
        ticks=none,
        xlabel={$x$},
        ylabel={$y$},
        xlabel style={right},
        ylabel style={above},
        xmin=-4,
        xmax=4,
        every axis plot post/.append style={ultra thick, smooth},
    }

\begin{filecontents*}{tikzPicture1.tex}
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};
\node[color=black, font=\footnotesize] at (axis cs: 2.2,3) {$x^2$};
\end{axis}
\end{tikzpicture}
\end{filecontents*}

\begin{filecontents*}{tikzPicture2.tex}
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^3};
\node[color=black, font=\footnotesize] at (axis cs: 2.2,3) {$x^3$};
\end{axis}
\end{tikzpicture}
\end{filecontents*}

\begin{filecontents*}{tikzPicture3.tex}
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {-x^2} node [pos=0.9, below right] {$f(x)=-x^2$};
\node[color=black, font=\footnotesize] at (axis cs: 2.5,-3) {$-x^2$};
\end{axis}
\end{tikzpicture}
\end{filecontents*}

\begin{filecontents*}{tikzPicture4.tex}
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {-x^3} node [pos=0.9, above right] {$f(x)=-x^3$};
\node[color=black, font=\footnotesize] at (axis cs: 2.3,-3) {$-x^3$};
\end{axis}
\end{tikzpicture}
\end{filecontents*}

\begin{filecontents*}{tikzPicture5.tex}
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};
\addplot [color=red, domain=-4:4] {2*x^2} node [pos=0.9, below right] {$2x^2$};
\draw [-latex,color=red] (2,2) to (1,2);
\node at (2.5,2) {\small \textcolor{red}{$2x^2$}};
\node[color=black, font=\footnotesize] at (axis cs: 1.5,1) {$x^2$};
\end{axis}
\end{tikzpicture}
\end{filecontents*}

\begin{filecontents*}{tikzPicture6.tex}
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^3};
\addplot [color=red, domain=-3:3] {2*x^3};
\draw [-latex,color=red] (2.2,3.456) to (1.2,3.456);
\node at (2.7,3.456) {\small \textcolor{red}{$2x^3$}};
\node[color=black, font=\footnotesize] at (axis cs: 1.5,1) {$x^3$};
\end{axis}
\end{tikzpicture}
\end{filecontents*}

\begin{filecontents*}{tikzPicture7.tex}
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^2};
\addplot [color=red, domain=-4:4] {(1/2)*x^2};
\draw [-latex] (2.5,2.25) to (1.5,2.25);
\node[color=red, font=\footnotesize] at (axis cs: 2,0.5) {$\frac{1/2}x^2$};
\node at (2.85,2.25) {\small $x^2$};
\end{axis}
\end{tikzpicture}
\end{filecontents*}

\begin{filecontents*}{tikzPicture8.tex}
\begin{tikzpicture}
\begin{axis}[ymin=-4, ymax=4]
\addplot [domain=-3:3] {x^3};
\draw [-latex] (2.5,3.375) to (1.5,3.375);
\node at (2.85,3.375) {\small $x^3$};
\addplot [color=red, domain=-3:3] {(1/2)*x^3};
\node[color=red, font=\footnotesize] at (axis cs: 2.1,1.5) {$\frac{1/2}x^3$};
\end{axis}
\end{tikzpicture}
\end{filecontents*}
    
\newcommand{\myimage}[1]{\input{tikzPicture#1}}
    
\begin{document}
    
\begin{tblr}{
        colspec = {X[c,m]X[c,m]X[c,m]},
        width = \linewidth,
        row{1} = {font=\bfseries},
        vlines,
        hline{1,2,4,6,8,10} = {solid},
    }
            
    & {$n$ gerade} & {$n$ ungerade} \\
    \SetCell[r=2]{c} {$a > 0$}
    & \myimage{1} 
    & \myimage{2} 
    \\    
    & Der Graph der Potenzfunktion verl\"auft von $+\infty$ nach $+\infty$
    & Der Graph der Potenzfunktion verl\"auft von $-\infty$ nach $+\infty$ 
    \\
    \SetCell[r=2]{c} {$a < 0$}
    & \myimage{3} 
    & \myimage{4} 
    \\
    & Der Graph der Potenzfunktion verl\"auft von $-\infty$ nach $-\infty$
    & Der Graph der Potenzfunktion verl\"auft von $+\infty$ nach $-\infty$ 
    \\
    \SetCell[r=2]{c} {$|a| > 1$}
    & \myimage{5}
    & \myimage{6}
    \\
    & \SetCell[c=2]{c} Dehnung in $y$-Richtung \\
    \SetCell[r=2]{c} {$|a| < 1$}
    & \myimage{7}
    & \myimage{8} 
    \\
    & \SetCell[c=2]{c} Stauchung in $y$-Richtung \\
\end{tblr}
    
\end{document} 

Para un MWE simple

\documentclass[10pt,letterpaper]{article}
\usepackage[lmargin=1in,rmargin=1in,tmargin=1in,bmargin=1in]{geometry}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{graphicx} 
\usepackage{tabularray}
\UseTblrLibrary{booktabs}

\pgfplotsset{
    compat=1.11,
    width=0.8\linewidth,
    scale only axis,
    axis lines = middle,
    ticks=none,
    xlabel={$x$},
    ylabel={$y$},
    xlabel style={right},
    ylabel style={above},
    xmin=-4,
    xmax=4,
    every axis plot post/.append style={ultra thick, smooth},
}

\newcommand{\myimage}{\includegraphics[width=\linewidth,height=35mm]{example-image}}

\begin{document}

\begin{tblr}{
        colspec = {X[c,m]X[c,m]X[c,m]},
        width = \linewidth,
        row{1} = {font=\bfseries},
        vlines,
        hline{1,2,4,6,8,10} = {solid},
        
    }
    
    & {$n$ gerade} & {$n$ ungerade} \\
    \SetCell[r=2]{c} {$a > 0$}
    & \myimage 
    & \myimage 
    \\    
    & Der Graph der Potenzfunktion verl\"auft von $+\infty$ nach $+\infty$
    & Der Graph der Potenzfunktion verl\"auft von $-\infty$ nach $+\infty$ 
    \\
    \SetCell[r=2]{c} {$a < 0$}
    & \myimage 
    & \myimage 
    \\
    & Der Graph der Potenzfunktion verl\"auft von $-\infty$ nach $-\infty$
    & Der Graph der Potenzfunktion verl\"auft von $+\infty$ nach $-\infty$ 
    \\
    \SetCell[r=2]{c} {$|a| > 1$}
    & \myimage 
    & \myimage
    \\
    & \SetCell[c=2]{c} Dehnung in $y$-Richtung \\
    \SetCell[r=2]{c} {$|a| < 1$}
    & \myimage
    & \myimage \\
    & \SetCell[c=2]{c} Stauchung in $y$-Richtung \\
\end{tblr}

\end{document}