(25% for undergraduate, 20% for graduate students) Compare the asymptotic order of growth of the functions f(n) and g(n) given below. Indicate whether the function f(n) grows faster than g(n), slower than g(n), or at the same order as g(n)for each of the following questions. a) f(n)=1000 g(n)=10 b) f(n)= n g(n)=1000 c) f(n) = 1 g(n) = log(n) d) f(n)=2" g(n)= 24-2 e) f(n)= log(n) g(n) = log(n)