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Is the relation a function?

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Is the relation a function?
Notes Over 8.1
Identifying Functions
Relation
A set of ordered pairs
3, 5, 2, 1, 0, 1
Domain
The first coordinate of a relation
3, 2, 0 
Range
The second coordinate of a relation
5, 1,  1
Notes Over 8.1
Identifying Functions
Function: a relation in which each member of the
domain is paired with exactly one member of the range.
Is the relation a function?
Coordinate Test
1. 0, 5, 1, 6, 2, 5, 3, 7 
Is the same x going to different y’s?
Notes Over 8.1
Identifying Functions
Function: a relation in which each member of the
domain is paired with exactly one member of the range.
Is the relation a function?
Coordinate Test
2. 0, 5, 1, 5, 2, 6, 3, 7 
Is the same x going to different y’s?
Notes Over 8.1
Identifying Functions
Function: a relation in which each member of the
domain is paired with exactly one member of the range.
Is the relation a function?
Coordinate Test
3. 0, 5, 0, 6, 1, 6, 2, 7 
Is the same x going to different y’s?
Notes Over 8.1
Identifying Functions
Function: a relation in which each member of the
domain is paired with exactly one member of the range.
Is the relation a function?
Coordinate Test
4. 3,  1,  5, 4, 0, 1, 3, 7
Is the same x going to different y’s?
Notes Over 8.1
Identifying Functions
Function: a relation in which each member of the
domain is paired with exactly one member of the range.
Is the relation a function?
Mapping Test
5. Domain Range
1
0
2
1
3
2
4
Is the same domain going
to different ranges?
Notes Over 8.1
Identifying Functions
Function: a relation in which each member of the
domain is paired with exactly one member of the range.
Is the relation a function?
Mapping Test
6. Domain Range
0
1
1
2
2
3
3
Is the same domain going
to different ranges?
Notes Over 8.1
Identifying Functions
Is the relation a function?
Vertical Line Test
Graph the relation, and check by vertical line test.
7.
 4,  3, 2, 0, 4, 3, 2, 3, 5,  4
Is there a vertical line that
can be drawn that will go
through more than one
point on the graph?
Notes Over 8.1
Identifying Functions
Is the relation a function?
Vertical Line Test
Graph the relation, and check by vertical line test.
8.  6,  5,  3,  2, 0,  2, 1, 0, 2, 2
Is there a vertical line that
can be drawn that will go
through more than one
point on the graph?
Pg 389 8 – 1 #1 – 11, 12 – 23
For each relation, list the members of the domain.
Then list the members of the range.

 1 4 
1. 0, 1, 3, 5, 2, 2 ,   , 
 2 5 

1


Domain:  , 0, 2, 3 
 2

4


Range:  , 1, 2, 5 
5

Pg 389 8 – 1 #1 – 11, 12 – 23
For each relation, list the members of the domain.
Then list the members of the range.
2.
 1, 2,  2, 2,  2, 3, 0, 2
Domain:
Range:
 2, 1, 0 
 2, 3 
Pg 389 8 – 1 #1 – 11, 12 – 23
Is each relation a function? Explain.
3. 3,  1, 3, 0,  3, 4, 3, 8,  2, 8
Is the same x going to different y’s?
4.
 3,  2,  1, 0, 1, 0, 5,  2, 6, 4
Is the same x going to different y’s?
Pg 389 8 – 1 #1 – 11, 12 – 23
Is each relation a function? Explain.
5. Domain Range
-5
-2
-2
2
3
5
Is the same domain going
to different ranges?
Pg 389 8 – 1 #1 – 11, 12 – 23
Is each relation a function? Explain.
6. Domain Range
Is the same domain going
-5
-4
-1
-3
2
6
to different ranges?
Pg 389 8 – 1 #1 – 11, 12 – 23
Is each relation a function? Explain.
7.
Is there a vertical line that
can be drawn that will go
through more than one
point on the graph?
Pg 389 8 – 1 #1 – 11, 12 – 23
Is each relation a function? Explain.
8.
Is there a vertical line that
can be drawn that will go
through more than one
point on the graph?
Pg 389 8 – 1 #1 – 11, 12 – 23
9. Is age a function of height?
Domain: height
Range: age
Is the same domain going
to different ranges?
Pg 389 8 – 1 #1 – 11, 12 – 23
10. Is the time you take to walk to the library a
function of the distance to the library?
Is
the
same
domain
going
Domain: distance
to
different
ranges?
Range: time
Pg 389 8 – 1 #1 – 11, 12 – 23
11. Is the price of a piece of cloth a function of the
length of the cloth?
Domain: length
Range: price
Is the same domain going
to different ranges?
Pg 389 8 – 1 #1 – 11, 12 – 23
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