Q7. (i) pts] Grouping Functions by Complexity Category a. [6 pts] Group the following functions by complexity category and sort the identified categories in decreasing complexity order by giving enough justifications to your solution: 8n + 12, n3/2, n, 2", n1/100, n?, 5n + 7n, log (n!), n!, nlog n, n, 2n!, n+ n log n, (log n) b. [2 pts] The function f(x) = (log n)2 + 2n + 4n + log n + 50 belongs in which of the following complexity categories: (a) (Ign) (b) ((log n)) (c) 2(n) (d) O(nlgn) (e) 0(n(Ign)) (f) None of these C. (2 pts] The function f(x) = f(x)=n+n + 2n + nt belongs in which of the following complexity categories: (a) O(n) (b) 6(n) (c) 6(n) (d) O(n lg n) (e) 6(n) (f) None of these