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injective

[ɪnˈdʒɛktɪv]

injective Definition

a function that maps distinct elements of its domain to distinct elements of its codomain.

Using injective: Examples

Take a moment to familiarize yourself with how "injective" can be used in various situations through the following examples!

  • Example

    The function f(x) = x^2 is not injective because f(-2) = f(2).

  • Example

    The function g(x) = x + 1 is injective because different inputs always produce different outputs.

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Summary: injective in Brief

An 'injective' [ɪnˈdʒɛktɪv] function is one that maps distinct elements of its domain to distinct elements of its codomain. For example, the function g(x) = x + 1 is injective because different inputs always produce different outputs.