# Multivalued function

In

mathematics, a

**multivalued function** is a

total relation; i.e. every

input is associated with one or more outputs. Strictly speaking, a "well-defined"

function associates one, and only one,

output to any particular

input. The term "multivalued function" is, technically, a

logical contradiction, "

true" functions are monovalued.

The above diagram does not represent a "true" function; because, the element 3, in *X*, is associated with two elements *b* and *c*, in *Y*.

See also: