Boundedness Properties

Boundedness properties refer to how certain mathematical objects, like functions or sets, have limits to how extreme their values can get. For example, a bounded function doesn’t go to infinity or negative infinity; its outputs stay within some fixed range. Similarly, a bounded set fits entirely within some finite space and doesn’t extend endlessly. These properties help mathematicians understand stability and control in systems, ensuring that values remain predictable and manageable rather than becoming arbitrarily large or small.