% !TeX TXS-program:compile = txs:///pdflatex

\documentclass[margin=5mm]{standalone}
\usepackage{ProfLycee}

\begin{document}

\begin{tikzpicture}[x=0.75cm,y=0.75cm,xmin=-7,xmax=6,xgrille=1,xgrilles=0.2,ymin=-5,ymax=6,ygrille=1,ygrilles=0.2]
	\GrilleTikz\AxesTikz
	\AxexTikz[AffOrigine=false,Police=\small]{-6,-5,...,6}
	\AxeyTikz[AffOrigine=false,Police=\small]{-5,-4,...,6}
	\draw (-6pt,-4pt) node[below] {$0$} ;
	\clip (\xmin,\ymin) rectangle (\xmax,\ymax) ;
	\CourbeTikz[line width=1.25pt,blue,samples=2]{1.5*\x+0.5}{\xmin:\xmax}
	\filldraw[blue] (-2,-2.5) circle[radius=2pt] node[right] {$A$} ;
	\filldraw[blue] (2,3.5) circle[radius=2pt] node[right] {$B$} ;
	\CourbeTikz[line width=1.25pt,red,samples=250]{(\x+0.5)*exp(-\x)+\x}{-1.5:6}
\end{tikzpicture}

\end{document}