A mathematical object is bounded if its size is limited in a specified sense. For a set of real numbers, this means having both a lower bound and an upper bound. For a function, boundedness means that its range is a bounded set, as in a bounded function. Having an upper bound alone is instead called being bounded from above.
Bounded
See also
Bounded from Above, Bounded from Below, Bounded Function, Bounded Operator, Bounded Sequence, Bounded SetExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Bounded." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Bounded.html