Question

How do you find the domain and the range of the relation, and state whether or not the relation is a function {(-3,2), (0,3), (1, 4), (1, -6), (6, 4)}?

Answer 1

the domain is: `{-3, 0, 1, 6}`
the range is:`{2, 3, 4, -6, 4}`
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .

Explanation:

In the relation:
`{(-3, 2), (0, 3), (1, 4), (1, -6), (6, 4)}`:
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is:
`{-3, 0, 1, 6}`
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is:
`{2, 3, 4, -6, 4}`
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .