% Problem # N1-01
% Range of initial points: -1 <= x <= 2
% Global minima: x=1.950519411050002
% f(x)=0.049740265515763
% Coded by: Ali R. Alroomi | Last Update: 03 March 2015 | www.al-roomi.org
 
clear
clc
warning off
 
xmin=-1;
xmax=2;
R=100000; % steps resolution
x=xmin:(xmax-xmin)/R:xmax;
 
for i=1:length(x)
    f(i)=x(i)*sin(10*pi*x(i))+2;
end
 
plot(x,f,'r','LineWidth',2);grid;set(gca,'FontSize',12);
xlabel('x','FontName','Times','FontSize',20,'FontAngle','italic');
ylabel('f(x)','FontName','Times','FontSize',20,'FontAngle','italic');