% X. Rendtel
% Letzte Aenderung: 23.09.2008

\documentclass[10pt, a4paper]{article}
\usepackage[utf8x]{inputenc} 
\usepackage[tight]{units}
\usepackage{euler}
\usepackage{calc}
\usepackage{pstricks}
\usepackage{rotating}

\usepackage{pst-pdf}
\usepackage{pst-node}

\usepackage{xcolor}
\usepackage{graphicx}
%\usepackage{multido}
\usepackage{pst-circ}
\usepackage{pst-func}
\usepackage{pst-math}

\usepackage{pst-eucl}
\usepackage{fancyhdr}
\pagestyle{fancyplain}

\usepackage{pstricks-add}
\usepackage[greek,german]{babel}

%%% Nicht benötigte Pakete:
%\usepackage{pst-plot}
%\usepackage{pst-grad}
%\usepackage[all]{xy}
%\usepackage{rotating}
%\usepackage{pst-text}
\usepackage{pst-tree}
%\usepackage{wasysym}

%\usepackage{pst-xkey}
%\usepackage{mathe} % Mathematische Mengen und Symbole werden definiert












\thispagestyle{empty}
\pagestyle{empty}

%\SpecialCoor

\usepackage[LGR,T1]{fontenc}
\usepackage{mathpazo,avant,courier}
\newcommand{\EUR}{\textgreek{\euro}}

\makeatletter
\newcommand{\psxpoint}[3][black]{%
  \psline[linewidth=.5pt]{-}(#2,\pst@xticksizeB)(#2,\pst@xticksizeA)
  \rput[t](! #2 \pst@number\pslabelsep \pst@number\pst@xticksizeB add 
	\pst@number\psyunit div neg ){\color{#1}#3}}
\makeatother


\makeatletter
\newcommand{\psypoint}[3][black]{%
  \psline[linewidth=.5pt]{-}(\pst@yticksizeB,#2)(\pst@yticksizeA,#2)
  \rput[r](! \pst@number\pslabelsep \pst@number\pst@yticksizeA sub 
	\pst@number\psxunit div neg #2){\color{#1}#3}}
\makeatother

\def\myLine#1(#2)(#3)#4{{%
  \pnode(#2){myA}\pnode(#3){myB}%
  \pcline[linestyle=dashed,tbarsize=15pt]{#1}(myA)(myB)%
  \ncput*{#4}}}



\newcommand{\knoten}[2][white]
{\Tr{\psframebox[fillcolor=#1!50,fillstyle=solid]{#2}}}

\begin{document}
\psset{xunit=1cm,yunit=1cm,dotstyle=*,dotsize=3pt
0,linewidth=0.8pt,arrowsize=3pt 2,arrowinset=0.25}

\psset{xunit=0.75cm,yunit=0.75cm,dotstyle=*,dotsize=3pt
0,linewidth=0.8pt,arrowsize=3pt 2,arrowinset=0.25,fillstyle=solid}
\begin{pspicture*}(-3,-2.5)(9,8)

\psplot[algebraic=true]{-2.5}{3.25}{(1/3)*x^2+(2/3)*x}
\psplot[algebraic=true]{-2.25}{3.1}{(1/3)*x^3-(4/3)*x}
\pscustom[fillcolor=red!20]{
\psplot[algebraic=true]{-2}{0}{(1/3)*x^2+(2/3)*x}
\psplot[algebraic=true]{0}{-2}{(1/3)*x^3-(4/3)*x}

}

\pscustom[fillcolor=red!20]{
\gsave
\psplot[algebraic=true]{0}{2}{(1/3)*x^3-(4/3)*x}
\fill[fillcolor=red!20]
\grestore
}


\pscustom[fillcolor=red!20]{
\psplot[algebraic=true]{0}{3}{(1/3)*x^2+(2/3)*x}
\psplot[algebraic=true]{3}{0}{(1/3)*x^3-(4/3)*x}
}



\rput[bl](2.5,1.75){$f(x) = \frac{1}{3}x^3-  \frac{4}{3}x$}
\rput[bl](3.3,5.2){$g(x) = \frac{1}{3}x^2+\frac{2}{3}x$}
\psaxes[xAxis=true,yAxis=true,Dx=1,Dy=1,ticksize=-2pt
]{->}(0,0)(-3,-1)(4,6)
\uput[-90](4,0){$x$}
\uput[l](0,6){$y$}
\psline[linestyle=dashed](3,4)(3,0)

\psplot[algebraic=true]{0}{2}{(1/3)*x^2+(2/3)*x}

\end{pspicture*}
\end{document}