1. Warm Up

2. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 3: Power Functions and Function Operations

3. VOCAB

4. TODAY  Today we will learn how to combine 2 or more functions using basic operations.

5. Directions (Operations on Functions)  Addition – Combine like terms  Subtraction - Combine like terms  Multiplication – Distribute / FOIL  Division – Long / Synthetic  +- Powers don’t change  * Powers add  DivisionPowers subtract

6. I DO (Basic operations)

7. WE DO (Basic operations)

8. YOU DO (Basic operations)

9. Review  Today you learned how to combine more than one equation

10. HOMEWORK  Worksheet  7.3B (1 – 8)  7 & 8 – do division as well

11. Warm Up

12. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 3: Power Functions and Function Operations

13. TODAY  Today we will review long and synthetic division (combining 2 equations)

14. Question  When can I use synthetic division?

15. Directions (Synthetic)  THIS IS EXACTLY LIKE SYNTHETIC SUBSTITUTION  Write the problem in standard form including the missing terms  Only Write down the coefficients inside  For the outside  Remember to take the opposite of the number  ANSWER  YOU start with 1 power less than the original

16. Directions (Long Division)  THIS IS EXACTLY LIKE LONG DIVISION WITHOUT A CALCULATOR  Write the problem in standard form including the missing terms  Look at the first term in the divisor  Find how many times that goes into the first term of the polynomial  Multiply that answer times the WHOLE divisor  Subtract that from the polynomial  Keep going until you can’t do anymore  Remainder is then written over the divisor

17. STARTING POINT

18. I DO (Division)

19. WE DO (Division)

20. YOU DO (Division)

21. Review  Today you learned………

22. HOMEWORK  Worksheet  7.3B (9-12)

23. Warm Up

24. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 3: Power Functions and Function Operations

25. TODAY  Today we will learn how to find a composite of 2 functions.

26. Directions (Compositions)  Work inside out  Write down the inside function  This is the X of the outside function  Write down the outside function (while using what you wrote as x)  Simplify

27. I DO (Composition)

28. WE DO (Composition)

29. YOU DO (Composition)

30. Review  Today you learned………

31. HOMEWORK  Worksheet  7.3B (13-16)

32. Warm Up

33. Algebra 3 Chapter 7: Powers, Roots, and Radicals Lesson 3: Power Functions and Function Operations

34. TODAY  Today we will learn how to find a composite of 2 functions with negative and fraction exponents.

35. Directions (Compositions)  Work inside out  Write down the inside function  This is the X of the outside function  Write down the outside function (while using what you wrote as x)  Simplify

36. I DO (Composition)

37. WE DO (Composition)

38. YOU DO (Composition)

39. Review  Today you learned………

40. HOMEWORK  Worksheet  7.3B (13-16)