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Monotonic function

Order-preserving mathematical function / From Wikipedia, the free encyclopedia

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In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.[1][2][3] This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.

Monotonicity_example1.svg
Figure 1. A monotonically non-decreasing function.
Monotonicity_example2.svg
Figure 2. A monotonically non-increasing function
Monotonicity_example3.svg
Figure 3. A function that is not monotonic