Question

A function f: x → y is said to be one – one (or injective) if:

Options

• x₁, x₂ ∈x, if f(x₁) = f(x₂)

• If x₁, x₂ `phi`x

• x₁, x₂ ∈x, if f(x₁) # f(x₂)

• None of these

Answer 1

x₁, x₂ ∈x, if f(x₁) = f(x₂)

Explanation:

A function f: x → y is said to be one – one (or injective) if the images of distinct elements of X under 'f are distinct i.e., for every x₁, x₂ ∈x, if f(x) = f(x₂) implies that x₁ = x₂