2ND QUARTER GRADE 9 RELATION AND FUNCTION.ppt

RELATION AND FUNCTION.

1. a)Evaluate f(x)= 5x-3 for x=4
a)Graph the following point on a graph. *Label Each*
(1, 3), (-1, 0), (1/2, -4), (0, 4)

3. a)Solve for y: f(x)= 5x-3 for x=4
f(4)= 5(4)-3
f(4)=20-3
f(4)=17

b) Graph the following point on a graph. *Label Each*
(1, 3), (-1, 0), (1/2, -4), (0, 4)
(1, 3)
(-1, 0)
(0, 4)
(1/2, -4)

4. Relations
What is a relationship?
In math a relation is a connection between a set of
inputs and a set of outputs
Review on Relations and Functions

6. Representations
(other than equations)
1)Ordered pairs:
(-3, -2), (5, 0), (0, 1), (-1, 4), (4, 5), (2, -5)
2) Table:
x -3 -1 0 2 4 5
y -2 4 1 -5 5 0

7. 3) Graph
(-3, -2)
(5, 0)
(0, 1)
(-1, 4)
(4, 5)
(2, -5)

8. 4) Mapping
(-3, -2), (5, 0), (0, 1), (-1, 4), (4, 5), (2, -5)
-
3
-
1
5 2 4 0
-
5
-
2
0 1 4 5

9. 4) Mapping (another way)
(-3, -2), (5, 0), (0, 1), (-1, 4), (4, 5), (2, -5)
-3
-1
0
2
4
5
-5
-2
0
1
4
5

10. Domain and Range
Domain- All inputs
Range- All outputs
(-3, -2), (5, 0), (0, 1), (-1, 4), (4, 5), (2, -5)
Domain: -3, 5, 0, -1, 4, -5
Range: -5, -2, 0, 1, 4, 5

11. Function
A function is a special kind of relation where
every input goes to exactly one output
It’s PREDICTABLE!
*Can be written using Function Notation:

12. One-to-one
Every input has a unique output

13. Onto
•Every output has an input

14. Discrete vs. Continuous
Discrete relation: A relation where the
domain is a set of individual points
Continuous relation: A relation that can
be graphed with a line or smooth curve

16. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

17. {(2,3), (3,4), (5,1), (6,2), (2,4)}
Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

18. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

19. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

20. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

21. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

22. {(2,3), (3,4), (5,1), (6,2), (3,3)}
Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

23. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

24. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

25. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

26. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

27. The number of employees a company had in each year from 2004 to 2009
were 25, 28, 34, 31, 27, and 29.
Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

28. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?

29. Domain?
Range?
Function?
One to one?
Onto?
Discrete or Continuous?