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Define the injective function. Give an example.

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Injective function

A function f: A → B is said to be one-one if distinct elements in A have distinct images in B.

Example:

Let N be the set of all natural numbers.

Let f: N → N: f(x) = 2x Ɐ x ∈ N

Then, f(x1) = f(x2)

2x1 = 2x2

x1 = x2

Hence, f is one-one.

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