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

\documentclass[margin=5mm]{standalone}
\usepackage[nonpgfplots]{tkz-grapheur}

\begin{document}

\begin{GraphiqueTikz}[Xmin=-4,Xmax=9,Ymin=0,Ymax=9]
	%axes et grille
	\TracerAxesGrilles*[Grille=false,Police=\small,Elargir=0mm]{-4,-3,...,8}{1,...,8}
	%tracés
	\foreach \k in {0.5,1,1.5,2,2.5,3,3.5,4,4.5,5}{%
		\TracerCourbe[Couleur=darkgray]{x+\k*exp(-x)}
		\filldraw[darkgray] ({ln(\k)},{ln(\k)+\k*exp(-ln(\k))}) circle[radius=2pt] ;
	}
	%textes
	\draw[darkgray] ({ln(0.5)},{ln(0.5)+0.5*exp(-ln(0.5))}) node[above=1pt,inner sep=1pt,font=\footnotesize] {$A_{0,5}$} ;
	\draw[darkgray] ({ln(1)},{ln(1)+1*exp(-ln(1))}) node[right=1pt,inner sep=1pt,font=\footnotesize] {$A_{1}$} ;
	\draw[darkgray] ({ln(1.5)},{ln(1.5)+1.5*exp(-ln(1.5))}) node[above=1pt,inner sep=1pt,font=\footnotesize] {$A_{1,5}$} ;
	\draw[darkgray] ({ln(5)},{ln(5)+5*exp(-ln(5))}) node[above=1pt,inner sep=1pt,font=\footnotesize] {$A_{5}$} ;
\end{GraphiqueTikz}

\end{document}