Monotone function
is monotone when it is increasing, , or decreasing, ; with the inequalities strict in each case, is strictly monotone.
Definition 2.24 (Monotone Function)
Consider . We say is (strictly) monotone if either
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it is (strictly) increasing, so ,
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it is (strictly) decreasing, so .
Related
Stated in
- Definition 2.24 (Monotone Function)§2.4 Intermediate Value Theorem