Mathwords: One-to-One Function

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One-to-One Function

A function for which every element of the range of the function corresponds to exactly one element of the domain. One-to-one is often written 1-1.

Note: y = f(x) is a function if it passes the vertical line test. It is a 1-1 function if it passes both the vertical line test and the horizontal line test. Another way of testing whether a function is 1-1 is given below.


this page updated 15-jul-23
Mathwords: Terms and Formulas from Algebra I to Calculus
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