FUNCTIONS 1 Notation and Types of Functions IB 1
Description: FUNCTIONS 1 Notation and Types of Functions IB 1 9102017 FUNCTION NOTION AND TYPES 1 9102017 FUNCTION NOTION AND TYPES 2 TYPES OF RELATIONS 9102017 FUNCTION NOTION AND TYPES 3 But first. A relation can be defined as an identifiable
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slide1. FUNCTIONS 1 Notation and Types of Functions IB 1 9/10/2017 FUNCTION NOTION AND TYPES 1<br>
slide2. 9/10/2017 FUNCTION NOTION AND TYPES 2<br>
slide3. TYPES OF RELATIONS 9/10/2017 FUNCTION NOTION AND TYPES 3<br>
slide4. But first…. A relation can be defined as an identifiable pattern between two variables or a set of ordered pair.
A FUNCTION IS A SPECIAL TYPE OF A RELATION 9/10/2017 FUNCTION NOTION AND TYPES 4<br>
slide5. A relation can only be a function if … It’s one to one or a many to one
Each x ‘object’ has only one y ‘image’
How do we know if a relation is a function?
Through
Graph
Equation
Ordered pairs
Table of values
Mapping diagrams
Function machines 9/10/2017 FUNCTION NOTION AND TYPES 5<br>
slide6. One to one function 9/10/2017 FUNCTION NOTION AND TYPES 6<br>
slide7. Many to one functions 9/10/2017 FUNCTION NOTION AND TYPES 7<br>
slide8. Not a function 9/10/2017 FUNCTION NOTION AND TYPES 8<br>
slide9. 9/10/2017 FUNCTION NOTION AND TYPES 9<br>
slide10. 9/10/2017 FUNCTION NOTION AND TYPES 10<br>
slide11. 9/10/2017 FUNCTION NOTION AND TYPES 11<br>
slide12. Function or not a function? 9/10/2017 FUNCTION NOTION AND TYPES 12<br>
slide13. Questions to Try Page 18
Page 21 9/10/2017 FUNCTION NOTION AND TYPES 13<br>
slide14. Types of functions 9/10/2017 FUNCTION NOTION AND TYPES 14<br>
slide15. 9/10/2017 FUNCTION NOTION AND TYPES 15<br>
slide16. Value of a function and composite functions If f(x) = 5x + 6 find f(2); f(-1); f(0) and f(10)
If g(x) = 20 – 4x find f(2x) leaving your answer in terms of x
If f(x) = 1+ 2x and g(x) = 3x + 9 find (f o g) (8) 9/10/2017 FUNCTION NOTION AND TYPES 16<br>
slide17. Composite Function 9/10/2017 FUNCTION NOTION AND TYPES 17<br>
slide18. The reciprocal function What are the key points to look out for?
IMAN
I for……………………………………………..
M for……………………………………………..
A for……………………………………………..
N for…………………………………………….. 9/10/2017 FUNCTION NOTION AND TYPES 18<br>
slide19. Complete all exercises up to 1E 9/10/2017 FUNCTION NOTION AND TYPES 19<br>
slide2. 9/10/2017 FUNCTION NOTION AND TYPES 2<br>
slide3. TYPES OF RELATIONS 9/10/2017 FUNCTION NOTION AND TYPES 3<br>
slide4. But first…. A relation can be defined as an identifiable pattern between two variables or a set of ordered pair.
A FUNCTION IS A SPECIAL TYPE OF A RELATION 9/10/2017 FUNCTION NOTION AND TYPES 4<br>
slide5. A relation can only be a function if … It’s one to one or a many to one
Each x ‘object’ has only one y ‘image’
How do we know if a relation is a function?
Through
Graph
Equation
Ordered pairs
Table of values
Mapping diagrams
Function machines 9/10/2017 FUNCTION NOTION AND TYPES 5<br>
slide6. One to one function 9/10/2017 FUNCTION NOTION AND TYPES 6<br>
slide7. Many to one functions 9/10/2017 FUNCTION NOTION AND TYPES 7<br>
slide8. Not a function 9/10/2017 FUNCTION NOTION AND TYPES 8<br>
slide9. 9/10/2017 FUNCTION NOTION AND TYPES 9<br>
slide10. 9/10/2017 FUNCTION NOTION AND TYPES 10<br>
slide11. 9/10/2017 FUNCTION NOTION AND TYPES 11<br>
slide12. Function or not a function? 9/10/2017 FUNCTION NOTION AND TYPES 12<br>
slide13. Questions to Try Page 18
Page 21 9/10/2017 FUNCTION NOTION AND TYPES 13<br>
slide14. Types of functions 9/10/2017 FUNCTION NOTION AND TYPES 14<br>
slide15. 9/10/2017 FUNCTION NOTION AND TYPES 15<br>
slide16. Value of a function and composite functions If f(x) = 5x + 6 find f(2); f(-1); f(0) and f(10)
If g(x) = 20 – 4x find f(2x) leaving your answer in terms of x
If f(x) = 1+ 2x and g(x) = 3x + 9 find (f o g) (8) 9/10/2017 FUNCTION NOTION AND TYPES 16<br>
slide17. Composite Function 9/10/2017 FUNCTION NOTION AND TYPES 17<br>
slide18. The reciprocal function What are the key points to look out for?
IMAN
I for……………………………………………..
M for……………………………………………..
A for……………………………………………..
N for…………………………………………….. 9/10/2017 FUNCTION NOTION AND TYPES 18<br>
slide19. Complete all exercises up to 1E 9/10/2017 FUNCTION NOTION AND TYPES 19<br>