Domain Functions Pair

Means that the pair x y belongs to the set of pairs defining the function f.

Domain functions pair. X y and is alternatively denoted as. Often a definition of the function is given by what f does to the explicit argument x. In other words it is the set of x values that you can put into any given equation.

In mathematics what distinguishes a function from a relation is that each x value in a function has one and only one y value. Like a relation a function has a domain and range made up of the x and y values of ordered pairs. It is the set x in the notation f.

Since a function is defined on its entire domain its domain coincides with its domain of definition. The set of all first coordinates of the ordered pairs is the domain of the relation or function. To understand what the domain of a function is it is important to understand what an ordered pair is.

An ordered pair is a pair of numbers inside parentheses such as 5 6. Remember if an element in the domain is being associated with more than one element in the range the relation is automatically disqualified to be a function. In mathematics the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

A relation or a function is a set of ordered pairs. If you think example 3 was bad this is worse. A function is a set of ordered pairs such as 0 1 5 22 11 9.

The set of all second coordinates of the ordered pairs is the range of the relation or function. The domain of a function is the set of numbers that can go into a given function. However this coincidence is no longer true for a partial function.