non-monotone function
[/nɒn ˈmɒnətəʊn ˈfʌŋkʃən/]
nounpl: non-monotone functions
função não-monótona
1. A mathematical function that does not consistently increase or decrease; a function that has both increasing and decreasing intervals
The function f(x) = x³ - 3x is a non-monotone function because it increases on some intervals and decreases on others.
A função f(x) = x³ - 3x é uma função não-monótona porque aumenta em alguns intervalos e diminui em outros.
2. In calculus and analysis, a function whose derivative changes sign, indicating alternating regions of growth and decline
The derivative of a non-monotone function will have both positive and negative values across its domain.
A derivada de uma função não-monótona terá valores tanto positivos quanto negativos em seu domínio.
This is a technical mathematical term used consistently across English, Brazilian Portuguese, and European Portuguese academic contexts. There is no colloquial or slang equivalent. The term is essential in calculus, analysis, and optimization courses, and maintains the same meaning internationally. In Brazilian universities, 'função não-monótona' is the standard terminology in mathematics departments.
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