Research+Question+7

=Research Question 7= // (Aisleen, Lauren, Ryan, Cassie) //

How does the seed value affect or not affect convergence?

1. Explore further why -1, 1, and 0 don't behave the same way as other seed values.- Zac 2. Why do different functions behave the way they do in terms in convergence/diverence?- Jordan 3. Explain why certain seed values converge while other seed values don't for the same function. -Paul

1. Are there specific formulas for the seed value (i.e., those found for question 4) that can cause a particular function to converge when it otherwise diverges? - Myles 2. How many iterations does it take to converge to the original function? - Katy

Would the float value setting on your calculator change the number of iterations it took for a function to converge? - Tom Would using a decimal between -1 and 0 or 0 and -1 for the seed value change the outcome of convergence? -Leah Would your results change if you composed two functions over and over alternating the two functions? -Megan

Try relating the graph to the seed value and whether it converges or diverges. - Sara and Raschelle