Single-Valued Function


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Related to Single-Valued Function: Multivalued function

single-valued function

[¦siŋ·gəl ‚val·yüd ′fəŋk·shən]
(mathematics)
A function for which exactly one point in the range corresponds to each point in the domain; a function that associates to each value of the independent variable exactly one value of the dependent variable. Also known as one-valued function.

Single-Valued Function

 

a function that maps each value of the independent variable for which it is defined to just one value of the dependent variable—in contrast to a multiple-valued function. For example, f(x) = x2 is a single-valued function, while Single-valued Function is not because to each value of x other than zero there correspond two values of f(x), which differ in sign.