Describe Relations And Functions
Relation - A relation R from a non-empty set B is a subset of the cartesian product For example, the set is a relation; the domain of and the range of
Functions - A relation from a set A to a set B is said to be a function if every element of set A has one and only one image in set B. In other words, no two distinct elements of B have the same pre-image.
The notation means that f is a function from . is called the domain of is called the co-domain of . Given an element there is a unique element that is related to . The unique element to which relates is denoted by and is called f of , or the value of at , or the image of under . The set of all values of taken together is called the range of or image of under . Symbolically. range of