An interval is unbounded if both endpoints are not real numbers. Replacing an endpoint with positive or negative infinity—e.g., (−∞,b] —indicates that a set is unbounded in one direction, or half-bounded.

What is bounded and unbounded in math?

A bounded anything has to be able to be contained along some parameters. Unbounded means the opposite, that it cannot be contained without having a maximum or minimum of infinity.

How do you know if a function is unbounded?

The function f(x)=1x is unbounded on any interval that includes x=0 , due to a simple pole at x=0 . The function f(x)=tan(x) is unbounded on any interval that includes an x of the form π2+nπ , since it has a vertical asymptote at each of these values.