# 5. Determine the type of the cycle of period 2 for the function F ( x ) = – x 3 . 6. Let D ( x )…

5. Determine the type of the cycle of period 2 for the function *F*(*x*) = –*x*3.

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5. Determine the type of the cycle of period 2 for the function F ( x ) = – x 3 . 6. Let D ( x )…

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6. Let *D*(*x*) denote the doubling function given by 2*x *if 0 :: *x **x *– 1 if 1/2 :: *x *:: 1. Show that all of the cycles are necessarily repelling.

7. Determine the *k*-value for which the logistic function undergoes a period doubling bifurcation at the fixed point.