Monotonic function

Figure 1. A monotonically increasing function. It is strictly increasing on the left and right while just non-decreasing in the middle.

Figure 2. A monotonically decreasing function

Figure 3. A function that is not monotonic

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

单词	Monotonicity theorem
释义	Monotonicity theorem 英语百科 Monotonic function In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.
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Monotonicity theorem

Monotonic function