import graph;

unitsize(1cm);

path courbe=(.5,2){dir(-30)}..{0}(2.5,-2)..{dir(30)}(5,3);
draw(courbe,red);

xaxis(Label("$x$",position=EndPoint, align=NE),
      xmin=-1.5,
      Ticks(scale(.7)*Label(),
            NoZero,
            endlabel=false,   // ote le dernier label (5)
            Step=1,step=.25,
            end=false,   // ote la dernière graduation principale (celle de 5)
            Size=.8mm, size=.4mm,
            pTick=black,ptick=gray),
            Arrow);

yaxis(Label("$y$",position=EndPoint, align=NE),
      ymin=-3.5,ymax=3.5,
      Ticks(scale(.7)*Label(),
            NoZero,
            Step=1,step=.25,
            Size=.8mm, size=.4mm,
            pTick=black,ptick=gray),
      Arrow);

shipout(bbox(2mm,Fill(white)));