import graph;

size(7.5cm,0);

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

xlimits(min=-1,max=6);

yaxis("$y$",LeftRight(),
            ymin=-3.5,ymax=4.5,red,
            Ticks(Step=1));

xaxis(Bottom(),
      xmin=-1.5,xmax=5.5,blue,
      Ticks(Step=2),
      Arrow);

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