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If every element of the first set is paired with exactly one element of the second set, it is called an injective (or one-to-one) function.

An example of such a relation is below.

Let f(x) and x be the set R (the set of all real numbers)

f(x)= x3, clearly this maps every element of the first set, x, to one and only one element of the second set, f(x), even though every element of the second set is not mapped to.

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A relation is simply a collection of ordered pairs. That is, a relation is a pairing of an element from one set with an element from another set.A function is a special type of relation. In a function, each element from the first set (or domain) is paired with exactly one element from the second set (or range). That is, no domain element is used more than once.I will solve all your math problems. Check my profile for more info.


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