import graph_pi;

real k=3.2;
real f(real x){return k*x*(1-x);}
graphicrules(unit=8cm,
             xmin=0, xmax=1, ymin=0, ymax=1);

draw(graph(f));
cartesianaxis();
draw(graph(new real(real x){return x;}), grey);

draw(recursivegraph(f,.1,n=12),
     recursiveoption(Label("%"),
                     labelplace=onXY,
                     px=dashed+grey,
                     py=dashed+grey,
                     automarker=nomarker,
                     circuitarrow=Arrow(position=Relative(.5),size=2mm)),
     .8red);