Phrase guide

linear function

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

Any function whose graph is a straight line: f(x)=ax+b

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

Any function whose value on the sum of two elements is the sum of the values of the function on the two elements and whose value on the product of a scalar times an element is the scalar times the value of the function on the element: f(ax+by)=af(x)+bf(y)

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

10 source translations are retained for this English entry.

  • Armenian: գծային ֆունկցիա (gcayin funkcʻia) — f(x)=ax+b
  • Chinese Mandarin: 線性函數 /线性函数 (xiànxìng hánshù) — f(x)=ax+b
  • Finnish: lineaarinen funktio — f(x)=ax+b
  • German: lineare Funktion — f(x)=ax+b
  • Polish: funkcja liniowa — f(x)=ax+b
  • Portuguese: função afim — f(x)=ax+b
  • Armenian: գծային ֆունկցիա (gcayin funkcʻia) — f(ax+by)=af(x)+bf(y)
  • Finnish: lineaarinen funktio — f(ax+by)=af(x)+bf(y)
  • German: lineare Abbildung — f(ax+by)=af(x)+bf(y)
  • Polish: funkcja liniowa — f(ax+by)=af(x)+bf(y)