5. 115 points] The Master theorem states the following: Let a z I and b> I be constants, let An) be a function, and let T(n) be defined on the nonnegative integers by the recurrence T(n)-aT(n/b) +An) where n/b interpret to mean eitherbormibl. Then the T(n) can be bounded asymptotically as follows. 1. If /(n)-O(nlogba-r) for some constant > 0, then T(n)-(nlog,a). 2. IfAn)-O(nlosha, then T(n)- (nogign) 3. Irn) -O(noga) for some constant &> 0, and if afnlb) scfn) for some constant c