graph2

import geometry;
import graph;

size(9cm, 0);
defaultpen(fontsize(12pt));
dotfactor = 4;
picture axis;

real xmin = -5, xmax = 5,
     ymin = -5, ymax = 5;
xaxis(axis, xmin=xmin, xmax=xmax,
    Ticks(scale(.7)*Label(align=E, Fill(white) ),
          NoZero,
          beginlabel=false, endlabel=false,
          begin=false, end=false,
          Step=0, step=0,
          Size=0mm, size = 0mm),
          Arrow(2mm),true);

yaxis(axis, ymin=ymin, ymax=ymax,
    // Ticks(scale(.7)*Label(align=W, Fill(white) ),
    //      NoZero,
    //      beginlabel=false, endlabel=false,
    //      begin=false, end=false,
    //      Step=0, step=0,
    //      Size=0mm, size = 0mm),
          Arrow(2mm),true);

real f(real x){
  return (x^3 + 4)/x^2;
}
path Cf1 = graph(f, xmin, -0.1, n = 400);
path Cf2 = graph(f, 0.1, xmax, n = 400);
draw(Cf1^^Cf2,green+1pt);

label("$x$", (xmax,0), 2S);
label("$y$", (0,ymax), 2W);
//label(scale(.7)*"$0$", origin, S+W, UnFill);
ylimits(ymin, ymax, Crop);
add(axis);
addMargins(2mm,2mm);