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import graph;
size(200,IgnoreAspect);
// Base-2 logarithmic scale on y-axis:
real log2(real x) {static real log2=log(2); return log(x)/log2;}
real pow2(real x) {return 2^x;}
scaleT yscale=scaleT(log2,pow2,logarithmic=true);
scale(Linear,yscale);
real f(real x) {return 1+x^2;}
draw(graph(f,-4,4));
yaxis("$y$",ymin=1,ymax=f(5),RightTicks(Label(Fill(white))),EndArrow);
xaxis("$x$",xmin=-5,xmax=5,LeftTicks,EndArrow);
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