Bounded and Unbounded Function
Let a function be defined as f(x): A → B and we can find two real numbers m and M such that m < f(x) < M ∀ x ε A then f(x) is called the bounded function. m and M are called the lower-bound and the upper-bound of f(x) respectively. The range of f(x) is [m, M] (see figure given below), If however, m and M or either of them is not defined (i.e. infinite) then f(x) is said to be unbounded function.
The platform at askIITians is the only group of IITians which provide you free online courses and a good professional advice for IIT JEE, AIEEE and other Engineering Examination preparation. You can also visit askIITians.com to study topics pertaining to the IIT JEE and AIEEE syllabus for free.