How to plot the evolution of x with iteration. (logistic map question)

where mod(2n) indicates the remainder after division by 2n .Here 0≤Xi<1 and n, \alpha, and \beta are suitable integers. investigate the properties of the maps for various values of \alpha when the \beta=0 and again when \beta=1. function should produce one clearly labeled plot the evolution of x with iteration. Vary alpha from 0 to 15.Use this to determine when this logistic map produces pseudo-random numbers.

Hi guys, I'm a totally new one to learn how to use matlab and met this problem. My personal thoughts about this question is firstly create: function [x] = problem1(x0, alpha, beta, n, Niter) I would like to set Niter as 300, and got those inputs for initial guess of x0, alpha,beta and n. guessing n can be like 8,16,or 32 some numbers like that because of 2 of n th power. Um...the rest code confused me a lot and hoping to get your help! Thank you so much!