One to One

1
One to One
?
1 2 3 4 5
5 6 7 8 9
?
?
?
?
The Rule is ADD 4
2
Paris London Dubai New York Cyprus
Ahmed Peter Ali Jaweria Hamad
?
?
?
?
Has Visited
There are MANY arrows from each person and each
place is related to MANY People. It is a MANY to
MANY relation.
3
Person Has A Mass of
Kg
?
Bilal Peter Salma Alaa George Aziz
62 64 66
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?
?
?
?
In this case each person has only one mass, yet
several people have the same Mass. This is a
MANY to ONE relationship
4
Is the length of
cm
object
Pen Pencil Ruler Needle Stick
?
?
14 30
?
?
?
Here one amount is the length of many
objects. This is a ONE to MANY relationship
5
FUNCTIONS

• Many to One Relationship
• One to One Relationship

6
Function - Domain and Range!
x?2x1
A
B
0 1 2 3 4
1 2 3 4 5 6 7 8 9
Image Set (Range)
Domain Co-domain
7
Functions - Notation
The upper function is read as follows-
Function f such that x is mapped onto x24
8
If
8
2
-8
2
3
3
9
Flow Diagrams
We can consider this as two simpler functions
illustrated as a flow diagram
Multiply by 3
Subtract 1
Square
Multiply by 2
Add 5
10
Compound(Composite) Functions
Consider 2 functions
is a composite function, where g is performed
first and then f is performed on the result of
g. The function fg may be found using a flow
diagram
Add 2
square
Multiply by 3
11
Composite Functions - Arrow Diagram
2
14
4
2
12
Inverse Functions
Draw a new flow diagram in reverse!. Start from
the right and go left
13
Which Are Functions?
(a) and (c)
14
Which Are Functions?
(a) and (c)
15
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