% Cartoon for explaining heuristics about finding polynomial with 
% minimal maximum norm

 figure; 
 f = @(x) cos(4*acos(x))
 t = linspace(-1,1,1000);
 h = plot(t,f(t),'r-',...
           [-1 1],[0 0],'k-',...
           [-1 1],[1 1],'m-',...
           [-1 1],[-1 -1],'m-');
 axis([-1.1 1.1 -1.1 1.1]);        
 set(gca,'fontsize',14);
 xlabel('{\bf t}');        
 ylabel('{\bf p}');
 