Dene dierent functions f(x) with domain f1; 2; 3; 4; 5; 6g and codomain f7; 8; 9; 10g by lling out the table below in such a way that f(x) becomes a (a) surjective (onto) but not injective (one-to-one) function, (b) not surjective and not injective function. (c) Given the domain and codomain as above, either construct an injective func- tion, or show that it is impossible. x 1 2 3 4 5 6 f(x)