i would like to plot an iterative function

f(x) =kx(1-x) , 3.5<k<4.0 , 0<x<1 . in steps of .0001

Answer 1

[Adam Drake]

xbounds = [0 1];
kbounds = [3.5 4.0];
stepsize = 0.0001;

X = xbounds(1):stepsize:xbounds(2);
K = kbounds(1):0.1:kbounds(2); % reduced k-step size for plot clarity

for j = 1:length(K)
    for i = 1:length(X)
        fofx(i,j) = K(j) * X(i) * (1 - X(i));
    end
end

figure
for k = 1:length(K)
    plot(X,fofx(:,k))
    hold on
end

legend(num2str(K'),'location','south')
xlabel('x')
ylabel('f(x)')
hold off

[dave]

Thank you Adam .

Answer 2

[Matt J]

For example,

k=linspace(3.5,4.0,5);

x=0:0.0001:1;

for i=1:numel(k)
    
    f =k(i).*x.*(1-x); 
    
    plot(x,f); xlabel x; ylabel f(x)
    hold on
    
end
hold off; legend("k = "+k)

[dave]

Thank you Matt.