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What is meant by a bijection function

A function is called a bijection , if it is onto and one-to-one.

Example: The function f(x) = 2x from the set of natural numbers N to the set of non-negative even numbers E is one-to-one and onto. Thus it is a bijection.

Every bijection has a function called the inverse function.

These concepts are illustrated in Figure. In each figure below, the points on the left are in the domain and the ones on the right are in the co-domain, and arrows show < x, f(x) > relation.