1. Paper, Pencil and Textbook
Lesson 8.1
Page 399
You need
Paper, Pencil and Textbook

2. The variable f
means function

3. Function - Relations in which each element of the
Page Lesson Functions
Function - Relations in which each element of the
domain (x) is paired with exactly on lement of the
range (y).
one element
Study the two charts in the middle of page 399.
Notice one is a Function Chart and one is
NOT a Function Chart

4. Function
Domain Range x 2 4 5 9 y 1 3 4 7

5. Function
Not a Function
Domain Range
Domain x 2 5 9
Range y 1 3 4 7 x 2 4 5 9 y 1 3 4 7

6. Function
Non Function

7. Study Example 1a and 1b

8. Page 402
10). (10,8) (12,4) (15,15) (9,4)
Function or Non Function? Explain

9. Very top of Page 400
Vertical line test

10. Function or Non Function?

11. Function or Non Function?
Take the Vertical test

12. Page Study Example 2
Is this a Funtion or Non Function?
Explain

13. Copy! - input Domain Range x y f(x) f(y) output (results) Example 3
F(x) is the same as X
f(y) is the same as y
Different
words
Same meaning
Domain x
f(x) -
Range y
f(y)
Copy!
input
output
(results)

14. Equation
y = 2x + 3

15. Equation
y = 2x + 3
Function Notation
f(x) = 2x + 3

16. think y = 4x - 7 f(x) = 4x - 7 find f(-6) f(x) = 4x - 7 find f(5)
means let x = 5
think y = 4x - 7

17. Page 402
Slove 19 and 21

18. f(x) = 3x - 9
think y = 3x - 9
19. f(9)
Hint x = 9

19. f(x) = 3x - 9
think y = 3x - 9
19. f(9)
Hint x = 9
f(x) = 3 (9) - 9

20. Page 402
Problem 21
f(x) = 3x if
f(-15)

21. Assignment
Page 402

22. copy copy Find f[g(x)] 40. f[g(3)]
Page 403 Hint... Start inside () do g(x) then f(x) s
If F(x) = 4x and g(x) = 8x + 2
Find f[g(x)]
40. f[g(3)]
copy
copy

23. g(x) = 8 (3) + 2 Find f[g(x)] 40. f[g(3)]
Page 403 Hint... Start inside () do g(x) then f(x) s
If F(x) = 4x and g(x) = 8x + 2
Find f[g(x)]
40. f[g(3)]
g(x) = 8 (3) + 2

24. g(x) = 8 (3) + 2 Find f[g(x)] 40. f[g(3)]
Page 403 Hint... Start inside () do g(x) then f(x) s
If F(x) = 4x and g(x) = 8x + 2
Find f[g(x)]
40. f[g(3)]
g(x) = 8 (3) + 2

25. g(x) = 8 (3) + 2 Find f[g(x)] 40. f[g(3)]
Page 403 Hint... Start inside () do g(x) then f(x) s
If F(x) = 4x and g(x) = 8x + 2
Find f[g(x)]
40. f[g(3)]
g(x) = 8 (3) + 2

26. g(x) = 8 (3) + 2 Find f[g(x)] 40. f[g(3)]
Page 403 Hint... Start inside () do g(x) then f(x) s
If F(x) = 4x and g(x) = 8x + 2
Find f[g(x)]
40. f[g(3)]
g(x) = 8 (3) + 2

27. Questions?
Assignment
Page
Page

28. Page 402
10 yes
11 no
12 yes
13 no
14 no
15 yes
16 no
17 yes
23. 0

29. Page 403