# How do you find the domain and the range of the relation, and state whether or not the relation is a function (1,7), (2,6), (3,5), (4,4)?

Aug 11, 2017

The domain is D={1;2,3;4}

The range is R={4;5;6;7}

The relation is a function.

#### Explanation:

The domain is the set

D={1;2,3;4}

and the range is the set

R={4;5;6;7}

A function is a special relationship where each input has a single output.

Then it is a function, since for each term of the domain, there is a single output:

$f \left(1\right) = 7$

$f \left(2\right) = 6$

$f \left(3\right) = 5$

$f \left(4\right) = 4$