Research+Question+1

=Research Question 1= // (Megan, Katy, Jordan, & Raschelle) //

Are there certain types of functions that predictably converge and c an they be categorized in any way?

How would changing the 'c' value affect where the equations converge? -Tom

What would different types (or categories) of function, such as square root, do to the outcome of convergence? -Leah

Would the linear functions all diverge to infinity? What would different seed values do to the con. or div. of the equations? - Ryan

Would looking at a function's iterations give more insight into whether it would converge or not? - Sara

What about square roots? Square root of x converges to 1 always. -Zac

Look at the absolute value of functions. Can you categorize these in any way? -Cassie

Is there a relationship between how a function converges/diverges and how its reciprocal converges/diverges? - Myles

Is there a type of equation that influences the behavior of the original equation vs. its negative? - Lauren

Why does x^4-1 produce a scatterplot through iteration (no pattern toward conv./div.)? - Mike