b) Let A = {3, 4, 5, B = {5, 6, 7} Which of the following relatio are functions from A to B ? If it is a function, determine whether is one-one and whether it is onto ? a (1) {(3,5), (4, 5), (5, 7)} (11) {(3, 7), (4, 5), (5,6) (111) {(3,6), (4, 6), (5, 6)} (iv) {(3,6), (4,7), (5,5)}
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is given that A = {1, 2, 3}, B = {4, 5, 6, 7}.
f: A → B is defined as f = {(1, 4), (2, 5), (3, 6)}.
∴ f (1) = 4, f (2) = 5, f (3) = 6
It is seen that the images of distinct elements of A under f are distinct.
Hence, function f is one-one.
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