Transcript Relations

3
5
13
2
4
0
A relation is an operation, or
series of operations, that maps
one number onto another.
For example, adding 3 is a relation.
We could write it as the relation,
x  3.
It maps 5 onto 8, because 5+3 is 8.
You can think of a relation as a
machine that uses numbers to
produce other numbers.
This machine adds 5 to any
number you put into it.
17  11 0
x5
22  6
5
What relation does this machine
represent?
2 7
1
2
?
4  14  1
One possibility is that each number
is multiplied by –2.
2 7
1
2
 2x
4  14  1
What relation does this machine
represent?
4
2  16
?
2
1 8
One possibility is that each number
is divided by 2.
4
2  16
x2
2
1 8
In this relation, -5 is mapped
onto 12, 1 is mapped onto 18,
and 100 is mapped onto 117.
-5
1
100
12
18
117
The relation would map 3
onto which number?
-5
1
100
3
12
18
117
?
If you see the relation as
adding 17 to each number, you
could say that 3 maps onto 20.
-5
1
100
3
12
18
117
?
20
What number maps onto 0?
-5
1
100
?
12
18
117
0
What number maps onto 0?
-5
1
100
-17
12
18
117
0
Find the missing numbers:
8
2
?
3x  1
23
?  ?7  16
Find the missing numbers:
8
 2 ?5
3x  1
23  7  16
There is a name for the numbers
that go into a relation.
8
2 5
3x  1
23  7  16
it Since
makeswe
sense
put to
them
callinto
them
input
the relation,
values.
8
2 5
3x  1
23  7  16
And there is a name for the numbers
that come out of a relation.
8
2 5
3x  1
23  7  16
it Since
makesthey
sense
come
to call
outthem
of
output
the relation,
values.
8
2 5
3x  1
23  7  16
Find the output values
if the input values are {1, 3, 5, 7}.
1
x5
2
3?
Input
Output
1
3
Find the output values
if the input values are {1, 3, 5, 7}.
3
Input
Output
x5
2
?4
1
3
3
4
Find the output values
if the input values are {1, 3, 5, 7}.
5
Input
Output
x5
2
?5
1
3
3
5
4
5
Find the output values
if the input values are {1, 3, 5, 7}.
7
Input
Output
x5
2
6?
1
3
3
5
7
4
5
6