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single-valued function

single-valued function

7.4
A rule that gives exactly one output for each input
  • noun
  • /ˈsɪŋɡəlˈveɪləd ˈfʌŋkʃən/
  • Specialized
translation icon : función univaluada
  • The teacher explained that a single-valued function has a unique output for each input value.

Examples

  • It says if one and only one value of West corresponds to each value of Z, we see that W is a single valued function of Z or that F of Z is single valued.

  • In mathematics, a single-valued function assigns exactly one output for every input in its domain.

  • To be classified as a single-valued function, a relation must map each input to only one output.

Synonyms

function
vssingle-valued function
  • Specialized
343 4.9

A rule in math or computing that gives one output for each input

limits meaning to the strict one-output-per-input mathematical relation
map
vssingle-valued function
  • Specialized
89 8.6

A rule that links each item in one set to one in another

is the strict mathematical term for that exact single output relation
mapping
vssingle-valued function
  • Specialized
11 4.2

A rule that links each thing in one group to a thing in another group

focuses on exact one-per-domain association rather than general connection
mathematical function
vssingle-valued function
  • Specialized
4.3

A rule that gives each item in one group exactly one item in another group

states the same exact one-per-domain association

Antonyms

Able to have more than one value or meaning

How Many Values

single-valued function
  • Specialized
7.4

Surface Forms

Morphology

single-valued + function

The term is compositionally built from 'single' (one) + 'valued' (having a value) and 'function' (a mapping), so the idea that each input maps to one output is directly derivable from the constituents. Although it's a technical mathematical phrase, the compounding follows regular English patterns, making it understandable to a B1 learner who knows the component words.

Etymology

Single-valued function is like a button on a vending machine: press the same button (the input) and the machine gives one specific snack (the value) every time. So a single-valued function means 'one output for each input', never more than one.