1. Do Now: Grab a piece of graph paper off the back table
Find your new seat
Solve the system of Inequalities

2. Functions & Compositions

3. What is function notation?
Function Notation is using “f(x)” to represent “y” in an equation
f(x) is pronounced “ f of x ”
So instead of writing y = x+1
we write f(x) = x+1
The problems still work the same way!

5. Examples:
f(0) = f(3) = f(-2)=

6. You try!
f(0) = f(4) = f(-2)=

7. What if we need to plug in a variable or polynomial?
It works the same way!
Make sure to follow order of operations!
f(-2x) =

8. What if we need to plug in a variable or polynomial?
It works the same way! Make sure to follow order of operations!
f(x+4) =
Remember when you square a binomial you need to foil or box!

9. Examples:
f( p ) = f(5x2) = f(x+1)=

10. You try!
f( p ) = f(5x2) = f(x+2)=

11. Partner Races! Answer the questions on the sheet!
Partner brings the worksheet up to Ms Taylor
If all correct  Point for your team  Most Points = CANDY

12. Adding & Subtracting Functions

13. Example (with variables):
(f + g)(x) = Is (g + f)(x) any different?

14. Example (with numbers):
(f + g)(2) = Is (g + f)(2) any different?

15. Example (with variables):
(f - g)(x) = Is (g - f)(x) different?

16. Example (with numbers):
(f - h)(2) = Is (h - f)(2) different?

17. You try!
(h + k)(x)=
(k - h)(x)=
(h - k)(-2)=

18. Multiplying & Dividing

19. Example (with variables):
(f • g)(x) = Is (g • f)(x) any different?

20. Example (with numbers):
(f • g)(-2) = Is (g • f)(-2) any different?

21. Example (with variables):
(f / g)(x) = Is (g / f)(x) different?

22. Example (with numbers):
(f /h)(3) = Is (h / f)(3) different?

23. Partner Races! Answer the questions on the sheet!
Partner brings the worksheet up to Ms Taylor
If all correct  Point for your team  Most Points = CANDY

24. Do Now (h • k)(x)= (k / h)(x)= (h • k)(-2)=
Get out your homework from Monday and put it on your desk for Ms. Taylor to stamp
If you have your project done, put it in the basket, if not finish it during lunch or flex
(h • k)(x)=
(k / h)(x)=
(h • k)(-2)=

25. Homework Check
Any questions?!

26. Composition of Functions
Taking a function & plugging it in to another function!

27. Example (with variables):
Find (f ◦ g)(x) and (g ◦ f)(x)

28. Example (with numbers):
Find (f ◦ g)(-4) and (g ◦ f)(-4)

29. You try!
Find (f ◦ g)(x) and (g ◦ f)(x)

30. You try!
Find (f ◦ g)(-1) and (g ◦ f)(-1)

31. Partner Races! Answer the questions on the sheet!
Pass sheet to the person in front of you
Front row hands me the sheet
If all correct  CANDY!

32. Honors Level Questions

33. Around the World- QUIZ GRADE!

34. Homework
Finish the rest of the Function Operations worksheet