Exercise 1.5. This problem is about the periodic points of Ffr] = r2 2 as in Example 1.6. As mentioned there, the number of solutions of F\"(:r] = a" is Phi] = 2\". 3.. Find the number of periodic points of FIII} = 1:2 2 of minimal periods q = 1, 3:\". . . . 12. b. Suppose q is a. prime number. 1we'rhst is QM}? c. Prove that Q[q} :r: U for all g 3 I, that is1 F has at least one periodic point of ever}: possible minimal period q. Hint: Clesriy QM) E T for all (I. Use {5) together with the fact that an},r proper divisor of a: n is at most 11,52