increasing function
nounUK /ɪnˈkriːsɪŋ ˈfʌŋkʃən/
US /ɪnˈkriːsɪŋ ˈfʌŋkʃən/
A function where the output gets bigger as the input gets bigger.
The function f(x) = 2x is an increasing function because the answer grows as x grows.
SYNONYMS
OTHER MEANINGS
2. A function that never goes down as you move from left to right on its graph.
On its graph, the increasing function always climbs or stays level, never falls.
3. A function whose values satisfy f(a) ≤ f(b) whenever a < b.
For the increasing function, if a is less than b, then f(a) is at most f(b).
4. A function with a positive rate of change over its whole domain.
Because its slope is always positive, the increasing function rises steadily.