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Question 2. [15 marks] Define different functions f (x ) with domain {1, 2, 3, 4, 5, 6} and codomain {7, 8, 9, 10} by filling 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. 1 2 3 4 5 6 f (x ) Justify your answers