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Nondecreasing Function

A function $f(x)$ is said to be nondecreasing on an Interval $I$ if $f(b)\geq f(a)$ for all $b>a$, where $a,b\in I$. Conversely, a function $f(x)$ is said to be nonincreasing on an Interval $I$ if $f(b)\leq f(a)$ for all $b>a$ with $a,b\in I$.

See also Decreasing Function, Nonincreasing Function




© 1996-9 Eric W. Weisstein
1999-05-25