%   
% Written by:
% -- 
% John L. Weatherwax                2006-08-28
% 
% email: wax@alum.mit.edu
% 
% Please send comments and especially bug reports to the
% above email address.
% 
%-----

close all; clear; clc; 

bd = 3;
u = linspace( -bd, +bd, 100 );

J1 = 10 + 15 * u + 5 * u.^2;
J2 = 3 + 4 * u - 6 * u.^2 + 10 * u.^3;
J3 = ( u - 1 ) .* ( u + 2 ) .* ( u - 3 ); 
J4 = exp( u ) + exp( -u ); 

h = plot( u, J1, u, J2, u, J3, u, J4 ); 
xlabel( 'u' ); ylabel('J');
legend( h, 'J_1(u)', 'J_2(u)', 'J_3(u)', 'J_4(u)', 'location', 'northwest' ); 

saveas( gcf, '../../WriteUp/Graphics/Chapter2/prob_1_J_plots', 'epsc' );