1. To be able to identify and use function notation.
Today’s Objective
To be able to identify and use function notation.

2. What’s a Function?
First of all what does the word relation mean to you?
A relation in math is a group of ordered pairs, just like your aunt and uncle.

3. What’s a Function? A relation in math is a group of ordered pairs.
A function is a relation in which no two ordered pairs have the same x-value.

4. What’s a Function?
A function is a relation in which no two ordered pairs have the same x-value.
(3,2) , (4,5) , (6,-1) , (0,2) is a function because all the x-values are different

5. What’s NOT a Function?
A function is a relation in which no two ordered pairs have the same x-value.
(-3,2) , (4,5) , (6,-1) , (4,2) is NOT a function.

6. What’s a Function? Y X

7. What’s NOT a Function? Y X

8. What’s a Function
Input
function
Output

9. The value of y depends on x
What’s a Function
The value of y depends on x x
function
Output y

10. What’s a Function 1
3x + 2 5
Output

11. What’s a Function 2
3x + 2 ? 8
Output

12. Function Notation (x,y) is a solution of y = 3x + 2.
(x, f(x)) is a solution of f(x) = 3x + 2.
In other words f(x) is the same thing as y.

13. If x = 1 and f(x) = 3x + 2, then: f(1) = 3(1) + 2 f(1) = 3 + 2
Function Notation
If x = 1 and f(x) = 3x + 2, then:
f(1) = 3(1) + 2
f(1) = 3 + 2
f(1) = 5
Remember

14. What’s a Function 1
3x + 2 5
Output

15. If x = 2 and f(x) = 3x + 2, then: f(2) = 3(2) + 2 f(2) = 6 + 2
Function Notation
If x = 2 and f(x) = 3x + 2, then:
f(2) = 3(2) + 2
f(2) = 6 + 2
f(2) = 8

16. If x = 5 and f(x) = 3x + 2, then: f(5) = 3(5) + 2 f(5) = 15 + 2
Function Notation
If x = 5 and f(x) = 3x + 2, then:
f(5) = 3(5) + 2
f(5) =
f(5) = 17
Your Turn

17. If x = 1 and f(x) = 3x2 + 2x - 1 f(1) = 3(1)2 + 2(1) - 1
Function Notation
If x = 1 and f(x) = 3x2 + 2x - 1
f(1) = 3(1)2 + 2(1) - 1
f(1) =
f(1) = 4

18. If x = 2 and f(x) = 3x2 + 2x - 1 f(2) = 3(2)2 + 2(2) - 1
Function Notation
If x = 2 and f(x) = 3x2 + 2x - 1
Your Turn
f(2) = 3(2)2 + 2(2) - 1
f(2) =
f(2) = 15

19. Find the Mean, Median, and the Mode
30, 34, 46, 26, 44, 24, 30, 26, 20, 40, ,36, 28, 45, 20, 18

20. Mean = 31 Median = 30 Mode = 20, 26, & 30
18, 20, 20, 24, 26 26, 28, 30, 30, 34 36, 40, 44, 45, 46

21. Classwork
See Side Board