Using calculus, I want to determine all the fixed points of the function f3f3 where ff is given by:
f:[0,1]→[0,1];f(x)=4x(1−x)f:[0,1]→[0,1];f(x)=4x(1−x)
and such that those fixed points are not fixed points of the functions f2f2 and f.
If we can not determine them explicitly, are there any argument to justify that such points exist? Thanks in advance.
