bounded function

noun

UK /ˈbaʊndɪd ˈfʌŋkʃən/

US /ˈbaʊndɪd ˈfʌŋkʃən/

A bounded function is a math rule whose answers never get too big or too small.

The sine function is a bounded function because its values always stay between -1 and 1.

SYNONYMS

limited function restricted function finite-valued function bounded mapping

RELATED WORDS

bound maximum minimum range continuous function

OTHER MEANINGS

2. A function whose output values all fit inside some fixed interval.

Every constant function is a bounded function.

3. A function that does not shoot off to infinity in either direction.

The function f(x) = 1/(1+x²) is a bounded function.

4. In analysis, a function for which some number is at least as large as the absolute value of every output.

The teacher proved that the sequence was a bounded function of n.