6-1 Relations

6-1 Relations 6-1 Relations

A relation is an operation, or series of operations, that maps

one number onto another.

6-1 Relations 6-1 Relations

RelationsRelations Relation: a set of ordered pairs.

{(3, 2), (–1, 5), (0, 2)}

Domain: all of the first coordinates of a relation (think of the domain as the inputs).

3, –1, 0

Range: all of the 2nd coordinates of a relation (think of the range as the outputs).

2, 5, 2

6-1 Relations 6-1 Relations

You can think of a relation as a machine that uses numbers to

produce other numbers.

6-1 Relations 6-1 Relations

This machine adds 5 to any number you put into it.

5x

17

22

11

6

0

5

6-1 Relations 6-1 Relations

What relation does this machine What relation does this machine represent?represent?

?

2

4

7

14

21

16-1 Relations 6-1 Relations

One possibility is that each number One possibility is that each number is multiplied by –2.is multiplied by –2.

x2

2

4

7

14

21

16-1 Relations 6-1 Relations

Example 1