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- 1. 5 6 7 8 9 1 2 3 4 5 One to One The Rule is ‘ADD 4’
- 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.
- 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
- 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
- 5. FUNCTIONS <ul><li>Many to One Relationship </li></ul><ul><li>One to One Relationship </li></ul>
- 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
- 7. Functions - Notation The upper function is read as follows:- ‘Function f such that x is mapped onto x 2 +4
- 8. If 2 2 = 8 3 3 = -8 Lets look at some function Type questions f x x 2 4 a n d g x 1 x 2 F i n d f 2 F i n d g 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. 2 4 14 2 Composite Functions - Arrow Diagram
- 12. Inverse Functions Draw a new flow diagram in reverse!. Start from the right and go left… Consider the function Here is its flow diagram 5 5 -2 Multiply by 5 Subtract 2 Divide by three Multiply by three Add two Divide by 5 3 3 +2 3 +2 5 And so
- 13. Which Are Functions? (a) and (c) (a) (b) (c) (d)
- 14. Which Are Functions? (a) and (c) (a) (b) (c) (d)
- 15. This powerpoint was kindly donated to www.worldofteaching.com http://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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