In mathematics, an injective function is a function f that maps different elements to different elements; that is, f = f means x₁ = x₂. In other words, each element of the function codomain is an image of at most one element in its domain.

What is an example of a one-to-one function?

One-to-one functions are special functions that return a unique range for each element in their domain, i.e., the answer is never repeated.As an example function g(x) = x – 4 is a one-to-one function because it produces a different answer for each input.

How to determine if a function is one-to-one?

If the graph of the function f is known, it is easy to determine whether the function is 1-to-1. Use the horizontal line test. If no horizontal line intersects the graph of the function f at more than one point, the function is 1 to 1.

One-to-one feature overview

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