# 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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