# Bounded Function

In algebra, a function is a relation between a set of inputs and a set of outputs under a condition that each input is related to exactly one output. There are many ways to describe a function.

Some functions may be defined by an algorithm or a formula that tells us how to find the output for particular input. And also by the graphs of function. Sometimes tables also reflect the output for a given input.

In mathematics we deal with different types of functions, like injective function, identity function, constant function, bounded function etc. A function having bounded set range is a bounded function. The range must have lower as well as upper bound.

Function can be bounded in real or complex field, if the set of its values is bounded. In this section we will study about bounded functions in detail with solved examples.