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One to One 1 2 3 4 5  5 6 7 8 9     The Rule is ‘ADD 4’

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Presentation on theme: "One to One 1 2 3 4 5  5 6 7 8 9     The Rule is ‘ADD 4’"— Presentation transcript:

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 62 Peter Salma 64 Alaa
George Aziz 62 64 66 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2x+1 A B 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 x2+4

8 Lets look at some function
Type questions f ( x ) = 2 + 4 a n d g 1 - F i 3 If = 8 2 2 = -8 3 3

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

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 Thus =

11 Composite Functions - Arrow Diagram
2 4 14 2

12 Inverse Functions Consider the function Here is its flow diagram 5 -2
Multiply by 5 Subtract 2 Divide by three Draw a new flow diagram in reverse!. Start from the right and go left… 3 +2 5 3 +2 3 Multiply by three Add two Divide by 5 And so

13 Which Are Functions? (b) (a) (c) (d) (a) and (c)

14 Which Are Functions? (b) (a) (c) (d) (a) and (c)

15 This powerpoint was kindly donated to www.worldofteaching.com
is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.


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