Question

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Based on the given information, f is best defined as:

Options

• Surjective function

• Injective function

• Bijective function

• function

Answer 1

Injective function

Explanation:

Since distinct elements of A have distinct f-images in B. Hence, f is injective and every element of B does not have its pre-image in A, hence f is not surjective.

∴ f is injective and is not surjective.