import graph;

unitsize(1cm);

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

// void xaxis(picture pic=currentpicture, Label L="", axis axis=YZero,
//            real xmin=-infinity, real xmax=infinity, pen p=currentpen,
//            ticks ticks=NoTicks, arrowbar arrow=None, bool above=false)
xaxis("$x$",xmin=-1.5,blue,Ticks(NoZero,Step=2),Arrow);

// ticks Ticks(Label format="", ticklabel ticklabel=null,
//             bool beginlabel=true, bool endlabel=true,
//             int N=0, int n=0, real Step=0, real step=0,
//             bool begin=true, bool end=true, tickmodifier modify=None,
//             real Size=0, real size=0, bool extend=false,
//             pen pTick=nullpen, pen ptick=nullpen)

yaxis("$y$",ymin=-4,
      LeftTicks("%",Ticks=new real[]{-sqrt(2),1.5},Size=1mm,1bp+red));
labely("$-\sqrt2$",-sqrt(2));	  
labely("$\frac32$",1.5);

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