1. (U & G-required) (30 points] Arrange the following list of functions in ascending order of growth rate. That is, if function g(n) immediately follows function f(n) in your list, then f(n) should be O(g(n)). f(n)=(n-2)! fz(n) = 51g(n+100)10 fz(n) = 22n f.(n) = 0.001n+ + 3n3 + 1 fs(n) = lnn fo(n)= in f7(n)= 31