Question

What is another name for a relation that has each element in its domain

paired with exactly one element in its range?

Answer 1

Explanation:

A function is a relation in which each element of the domain is paired with exactly one element of the range.

A relation is a set of ordered pairs. The set of the first components of each ordered pair is called the domain and the set of the second components of each ordered pair is called the range. Consider the following set of ordered pairs. The first numbers in each pair are the first five natural numbers. The second number in each pair is twice that of the first.

{(1,2),(2,4),(3,6),(4,8),(5,10)}

The domain is{1,2,3,4,5} and the range is{2,4,6,8,10}

So, this relation is a function.