% 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,algebraic=true,dotstyle=*,dotsize=3pt
0,linewidth=0.8pt,arrowsize=3pt 2,arrowinset=0.25,fillstyle=solid}
\begin{pspicture*}(-3,-1.5)(8,6)

\psplot{-2.75}{2.75}{0.5*x^2+1}
\psplot{-3}{3}{-x^2+(3/2)*x+4}
\pscustom[fillcolor=red!20]{

\psplot{-1}{2}{0.5*x^2+1}
\psplot{2}{-1}{-x^2+(3/2)*x+4}
\fill[fillcolor=red!20]
}

\rput[bl](2.5,1.5){$g(x) = -x^2+\frac{3}{2}\cdot x+4$}
\rput[bl](2.8,3.2){$f(x) = \frac{1}{2}x^2+1$}
\psaxes[xAxis=true,yAxis=true,Dx=1,Dy=1,ticksize=-2pt
]{->}(0,0)(-3,-1)(4,5)
\uput[-90](4,0){$x$}
\uput[l](0,5){$y$}
\psline[linestyle=dashed](0,3)(2,3)

\psline[linestyle=dashed](2,3)(2,0)
 

\end{pspicture*}
\end{document}