Research+Question+4

=Research Question 4= //(Tom, Myles, Paul, Margarie)//

Can we manipulate the function to change its convergence (whether or not it does as well as the value to which it does)?

Could "a" equal a negative number? -Katy Why does the value "k" have such an impact on the convergence? -Mike Our group went through a similar series of tests, but we didn't make a set format for every number. We focused more the number of iterations it took to find the convergence and divergence. -Lauren Ryan- we looked at the functions to see if they every change where they con. or div. to and also is it changes whether it con. or div.

Can you manipulate ALL functions and how would you go about this? -Jordan

How do you manipulate the different categories of functions (like linear, etc)? Is there a rule for each category? -Cassie

How does this relate to my group's question on finite and infinite groups? -Zac Did you try a values as fractions? -Megan Rather than using only the one function you explored, what other types of functions could be manipulated to find a pattern in convergence? -Leah