2. A famous iteration function is the "logistic map" g(x) = c*x*(1-x) for various values of the constant c between 0 and 4. For these values of c, g(x) stays between 0 and 1. But a wide variety of things happen for different values of c. For the c values below, state whether the iteration converges to a single value, converges to a cycle of several values (and say how many), or behaves chaotically. Start the iteration with some random value like 0.1345, which can be the same for each c. Set up a scatter plot of the x values to see the behavior easily. (use excel spreadsheet, of course) Values of c: 1 1.5 2 2.5 3 3.2 3.5 3.6 3.7 3.8 3.9 4.0 3.83 3.56