            




        % script file for functional iteration of the function
        %
        %         f(x)  = cx(1-x)    

            c = input('enter the value of c  ')
            xstart = input('enter the starting point x   ')
            N = input('enter the number of iterations  ')
            f = inline('c*x.*(1-x)', 'x', 'c');
            xplot = linspace(0,1,201);
            plot(xplot, f(xplot,c), xplot, xplot)
            hold on
         
            x = zeros(1,N);
            x(1) = xstart; 
            plot(x(1), 0, '*')
            plot(x(1), f(x(1),c), '*')
            disp('hit return to continue  ')
            pause
            for n = 2:N
              x(n) = f(x(n-1),c);
              plot(x(n), 0, '*')
              plot(x(n), f(x(n),c), '*')
              disp('hit return to continue ')
              pause
            end
            hold off
            [x', f(x,c)']

