Evaluate each of the following complexity functions for n = 2^3= 8, n = 2^7= 128, and n = 2 =^10 = 1024. The goal of this exercise is to get a feel for the relative rates of growth of some common efficiency classes.

(a) log 2 n

(b) n

(c) n2

(d) n3

(e) 2n

(f) n!