Strictly Increasing Function

A function f(x) is said to be strictly increasing on an interval I if f(b)>f(a) for all b>a, where a,b in I. On the other hand, if f(b)>=f(a) for all b>a, the function is said to be (nonstrictly) increasing.

See also

Decreasing Function, Derivative, Nondecreasing Function, Nonincreasing Function, Strictly Decreasing Function

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Cite this as:

Weisstein, Eric W. "Strictly Increasing Function." From MathWorld--A Wolfram Web Resource.

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