# Chapter 10, Explorations 12-19

• When $$a=2.5,$$ the logistic function has a fixed point. Determine whether it has a prime period $$n$$ point for $$n=1,..., 8.$$
• When $$a=3.175,$$ the logistic function has a prime period 2 point. Determine whether it has a prime period $$n$$ point for $$n=1,..., 8.$$
• When $$a=3.834,$$ the logistic function has a prime period 3 point. Determine whether it has a prime period $$n$$ point for $$n=1,..., 8.$$
• When $$a=3.5,$$ the logistic function has a prime period 4 point. Determine whether it has a prime period $$n$$ point for $$n=1,..., 8.$$
• When $$a=3.739,$$ the logistic function has a prime period 5 point. Determine whether it has a prime period $$n$$ point for $$n=1,..., 8.$$
• When $$a=3.628,$$ the logistic function has a prime period 6 point. Determine whether it has a prime period $$n$$ point for $$n=1,..., 8.$$
• When $$a=3.70186,$$ the logistic function has a prime period 7 point. Determine whether it has a prime period $$n$$ point for $$n=1,..., 8.$$
• When $$a=3.557,$$ the logistic function has a prime period 8 point. Determine whether it has a prime period $$n$$ point for $$n=1,..., 8.$$

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