Objective To graph relations To identify functions Relations A relation is a set of pairs of input and output values You can write a relation as a set of ordered pairs Graphing Relations To graph relations plot the points ID: 600444
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Slide1
2-1 Relations and Functions
Objective:
To graph relations
To identify functionsSlide2
Relations
A relation is a set of pairs of input and output values.
You can write a relation as a set of ordered pairs.Slide3
Graphing Relations
To graph relations, plot the points. Slide4
Try this
Graph
{(0,4), (-2,3), (-1,3) (-2,2) (1, -2)}Slide5
Domain and Range
The domain of a relation is the set of all inputs, or x coordinates, of the ordered pairs
* The domain is all of the x’sSlide6
Domain and Range
The range of a relation is the set of all outputs, or y coordinates, of the ordered pairs
* The range is all of the y’sSlide7
Find the domain and range
The ordered pairs are
(-3, 2) (0, 1) (2, 4) (4, -3)
The domain is
{-3, 0, 2, 4}
The range is
{2, 1, 4, -3}Slide8
When listing domain and range, if a number is repeated, write it only once
Example { (1,4) (1, 5) (2, 5) (3, -2)}
The domain is {1, 2, 3}
The range is {4, 5, -2}Slide9
Mapping Diagram
Another way to show a relation is to use a mapping diagram
It links elements of the domain with elements of the rangeSlide10
To create a mapping diagram:
Write the elements of the domain in one region
Write the elements of the range in another region
Draw arrows to show how each element from the domain is paired with elements from the rangeSlide11
Example
Make a mapping diagram for the relation
{(2,8), (-1,5), (0,8) (-1,3) (-2,3)}
Domain
Range
2
-1
0
-2
8
5
3