mark

Consider the family f_{\alpha}(x) = ax^2(1-x).

- Show that zero is a super-attractive fixed point of f_{\alpha} for every {\alpha}.
- Find a value of \alpha such that f_{\alpha} has a neutral fixed point.

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mark

Consider the family f_{\alpha}(x) = ax^2(1-x).

- Show that zero is a super-attractive fixed point of f_{\alpha} for every {\alpha}.
- Find a value of \alpha such that f_{\alpha} has a neutral fixed point.