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Relations and functions

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A relation is a rule that takes input values and assigns them to output values. You can represent a relation with a set of ordered

pairs.

For example, this is a relation.

{

(

–

4

,

2

)

,

(

2

,

0

)

,

(

3

,

–

3

)

,

(

3

,

4

)

}

The input values correspond to the variable

x.

The set of all input values is called the

domain.

In the relation above, the domain is

{

–

4

,

2, 3}.

The output values correspond to the variable

y.

The set of all output values is called the

range.

For the relation above, the range is {2, 0,

–

3

,

4}.

You could also represent this relation as a

mapping,

table,

or

graph.

Try some practice problems!

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Identify functions

Try some practice problems!

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