p = 0,1,-1.
The square function and the special lines y=x and y=-x intersect at the fixed points of the square function.
Any number that was greater than 1 or less than -1 tended towards infinity or negative infinity, respectively, for the long term behavior. Any number greater than -1 but less than 1 (that is,
between -1 and 1) converged to 0.
Yes. As stated above, any number less than the fixed point -1 will diverge,
as will any number greater than the fixed point 1. Any number in between the
open interval of -1 and 1 will converge to the fixed point 0.
Attracting: p=0
Repelling: p=1,-1
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