Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1,4), (2,5), (3,6)} – InterviewSolution

1.

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. Show that f is one-one.

Answer»

x₁, x₂ ∈ A, f (x₁) = f (x₂)

⇒ x₁ = x₂

∴ hence one-one

f(1) = 4, f(2) = 5, f(3) ≠ R, hence f is one-one.

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