1. a. Find all fixed points for the function F ( x ) = x 2 . b. What is the fate of all other…

1.          a.    Find all fixed points for the function F(x) = x2.

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b.    What is the fate of all other orbits for this function?

 

2.          What is the fate of all orbits of F(x) = x2  + 1?

3.          a.    What is the fate of all orbits of F(x) = ax where 0 a 1?

 

b.    What is the fate of orbits of this function for other values of a?