1. (20%) Compare the asymptotic order of growth of the functions f(n) and g(n) giver Indicate whether the function f(n) grows faster than g(n), slower than g(n), or at the as g(n) for each of the following questions. a) f(n) = 1000 g(n) = 10 b) f(n)=n? g(n)= 1000n c) f(n)=n g(n) = log(n) d) f(n) = 2" g(n) = 2"+2 e) f(n) = log(n?) g(n)= log(n*)