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A function is bounded if its values are limited or restricted within a certain range. It means that the function does not go to infinity or negative infinity.
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Unbounded: An unbounded function has no restrictions on its values and can extend infinitely in either positive or negative direction.
Upper Bound: An upper bound of a set of numbers is the maximum value that none of the numbers exceed.
Lower Bound: A lower bound of a set of numbers is the minimum value that none of the numbers fall below.