Question

Find the domain and range of the relation, and state whether or not the relation is a function.

{(1, 3), (2, 3), (3, 3), (4, 3)}

Answer 1

domain is {1 ,2,3,4}
range is {3}
it's a function because each element in x has only one image in y

Answer 2

A relation is simply a set of ordered pairs, while a function is a set of ordered pairs in which each x-coordinate has only ONE y-coordinate associated with it.

The first elements in the ordered pairs (the x-values), form the domain. The second elements in the ordered pairs (the y-values), form the range.

In the set,

{(1, 3), (2, 3), (3, 3), (4, 3)}

it is not a function, based on the definition since an x-coordinate has the same y-coordinate which is 3.

The domain is (1,2,3,4) while range is (3).