f(x) = 2*x

count = srange(0,10)

vals = [3]

for i in count:

a = vals[i]

b = f(a)

vals.append(b)

list_plot(vals)

1. Make the above script a function called iterate. This function should take no inputs (yes, this is OK) and return the list of values. Test your function. HINT: The header of a function that takes no inputs should have the form def my_function_name():
2. Copy and modify your iterate function so that the number of times the iteration should be performed is an input. (Use a descriptive name.) Test your function with several different input values. HINT: Where does this number appear in the example?
3. Copy and modify the previous version of your iterate function so that the initial value is also an input. As before, test your function with several different input values.
4. Copy and modify the previous version of your iterate function so that the function to be iterated is also an input. Test iterate with at least two different functions. HINT: What line of code will you need to remove when modifying the previous version of the function?