Hey all. Could someone check my work here and get back to me before 9 central time. THanks, GREEN!
Let f(x) = 1 / (x^2 + 3x -2)
Find the fixed points for f.
I got x = 0.85106383, x = -0.3191489, and x = -3.510638.
Are these correct?
Try different seeds to find out which, if any are convergent.
To me it seems that it converges at -0.343379569, so according to this none are convergent.
I am not sure about this though.
Could someone please check my answers.
ok i checked my work, and i believe these are my new and improved answers ...
x = 0.834
x = -0.343
x = -3.491
remains the same, except now one of the fixed points are convergent.
How's this look guys?
Here is part c now:
Zoom in on a convergent point until the graph of f looks like a straight line (this phenomenon is known as "local linerity.") Find the coordinates of two points on f - one to the left and one to the right of the convergent point. Then find the slope (rise over run) of the segment connecting these two points.
I would also like to check my slope with someone, so if you find it, please let me know.