Consider sets A = {1, 2, 3, 4, 5, 6} and B = {a,b,c,d,e,f}. 1. Determine the type of the correspondence in each of the following cases, or indicate if the correspondence is not a function. (a) {1 6,2 6,37 0,4 +0,578,37 a} (b) { 10,2-0,3 - 0,45,50,6 c} () { 1,276,37 0,4 0,5e, 6 f} (d) {1 6,2 6,37,4+0,5-1,6 Ha} Fill in the table below, using, or X. Injective Surjective Bijective Neither injective nor surjective Not a function (b) c) (d) 2. Is it possible to construct a function f : A B which is surjective and not injective? Discuss