A function is said to be strictly increasing on an interval if for all , where . On the other hand, if for all , the function is said to be (nonstrictly) increasing.
Strictly Increasing Function
See alsoDecreasing Function, Derivative, Nondecreasing Function, Nonincreasing Function, Strictly Decreasing Function
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Weisstein, Eric W. "Strictly Increasing Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StrictlyIncreasingFunction.html