monotonically decreasing function
nounUK /ˌmɒnəˈtɒnɪkli dɪˈkriːsɪŋ ˈfʌŋkʃən/
US /ˌmɑːnəˈtɑːnɪkli dɪˈkriːsɪŋ ˈfʌŋkʃən/
A function that never goes up as you move along the x-axis.
The function f(x) = -x is a monotonically decreasing function because its value gets smaller as x gets bigger.
SYNONYMS
OTHER MEANINGS
2. A function f such that x ≤ y implies f(x) ≥ f(y) for all x and y in its domain.
Every constant function is monotonically decreasing under the non-strict definition.
3. A function whose graph never rises from left to right, allowing flat portions.
The step function that stays at 5 and then drops to 2 is monotonically decreasing.
4. A sequence or function that is either strictly decreasing or constant on every interval.
The running maximum of a list, read backwards, forms a monotonically decreasing function.