How do you find the domain and the range of the relation, and state whether or not the relation is a function {(4, –6), (3, –6), (–2, 5), (4, 1)}?

1 Answer
Shantelle
Aug 2, 2018

Domain : -{2, 3, 4}

Range : {-6, 1, 5}

Not a function.

Explanation:

The domain is also known as the x-values and the range is the y-values.

Since we know that a coordinate is written in the form (x, y), all the x-values are:
{4, 3, -2, 4}

However, when we write a domain, we typically put the values from least to greatest and do not repeat numbers. Therefore, the domain is:
-{2, 3, 4}

All the y-values are:
{-6, -6, 5, 1}

Again, put them in least to greatest and do not repeat numbers:
{-6, 1, 5}

In a function, each x-value can only pair with one y-value (each input has a single output). Since there are two "4"s in the x-values, there are two same x-values paired with two different y-values, so this relation is not a function.

Hope this helps!

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