Functions

Page
1

Slide 1

Slide 2

Ahmed

Peter

Ali

Jaweria

Hamad

Paris

London

Dubai

New York

Cyprus









Has Visited

There are MANY arrows from each person and each place is related to MANY

People. It is a MANY to MANY relation.

Slide 3

Bilal

Peter

Salma

Alaa

George

Aziz

62

64

66

Person Has A Mass of Kg













In this case each person has only one mass, yet several people have the same

Mass. This is a MANY to ONE relationship

Slide 4

Is the length of

14

30

Pen

Pencil

Ruler

Needle

Stick

cm

object











Here one amount is the length of many objects.

This is a ONE to MANY relationship

Slide 5

Functions

Many to One Relationship

One to One Relationship

Slide 6

Function - Domain and Range!

Domain Co-domain

0

1

2

3

4

1

2

3

4

5

6

7

8

9

Image Set (Range)

x2x+1

A

B

Slide 7

Functions - Notation

The upper function is read as follows:-

‘Function f such that x is mapped onto x2+4

Slide 8

If

2

2

= 8

3

3

= -8

Slide 9

Flow Diagrams

We can consider this as two simpler

functions illustrated as a flow diagram

Multiply by 3

Subtract 1

Multiply by 2

Add 5

Square

Slide 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

square

Multiply by 3

Add 2

Slide 11

2

4

14

2

Composite Functions - Arrow Diagram

Slide 12

Inverse Functions