a) Let A = {2,3,4,6,10, 12,16} and B = {2,4,8,16,25}. Draw the Hasse diagrams for the following posets: i. (A, |). ii. (B. I). b) Show that each of the below rule is not a function with the given domain and codomain: i f: N N where f (n) = Vn. ii. g: N N where g(n) = any integer > n. x2 x-1 if x 2 4 if x < 2 iii. h: R Rwhere h(x) = } iv. k: Q Qwhere f(p/q) = q. %3D 1 v. G: z Z where G(n) = n2-5