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QUESTION 1 (5 Marks) a) Set A and B are defined as follows: A = {X | X EZ and (2 z, 6 > x, 9 > z, and S = (1, 3). Determine the i. image of 3 ii. pre-image of y iii. image of f(S). (3 marks) b) Determine whether f(m) = 2m +1 is a bijection from R to R. Show your work. (4 marks) c) Let A = {1, 2, 3, 4}. i. Draw the matrix representation for R = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)}. (2 marks) ii. Determine whether the relation, R = {(1, 3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)} is: Types of relations Yes/No | Justify your answer. Reflexive Symmetric Antisymmetric Transitive (6 marks)