1. Objective: SWBAT ~Combine functions using arithmetic and composition ~Determine the domain and range of combined functions

2. DOMAIN AND RANGE Domain  The domain is the set of all x values that work in the function  To find the domain:  What kind of numbers can I plug in for x??  Positive numbers??  Negative numbers??  Zero?? Range  The range is the set of all y values that a function outputs  To find the range:  You have to think!! What numbers can you get out of the function??

3. WHAT ARE THE DOMAINS OF EACH OF THE FOLLOWING?

4. ARITHMETIC COMBINATIONS OF FUNCTIONS

6. COMPOSITIONS OF FUNCTIONS

7. FUNCTION COMPOSITION RELAY  Each person in the group is assigned a function.  The person in the back of your group will evaluate their function for the x value on the next slide and write their answer on an index card.  They will then hand their answer up to the person in front of them, who will evaluate their function for the value handed up.  Lather, rinse, repeat, until the front person gets their answer.  They will raise their hand and pass this answer to me.  First group to pass me the correct answer wins!

8. FUNCTION COMPOSITION RELAY

9.  What composition did we just find?  Hint: What function did we do first? Second? Third? Fourth?  We always work from the inside out, so the function we started with is on the inside.

10. FUNCTION COMPOSITION RELAY

16. WHAT WAS THE PROBLEM WITH THE LAST ROUND?

17. COMBINATIONS OF FUNCTIONS USING A GRAPH

18. xf(x) -34 05 31 5-14 6-2 Use the tables to evaluate the following: f(g(7)) g(f(-3)) f(f(0)) g(f(5)) f(g(-1)) xg(x) 6 0 40 58 73

19. COMPOSITION OF FUNCTIONS

20. DOMAIN OF COMPOSITION FUNCTIONS

21. FINDING COMPOSITIONS OF FUNCTIONS AND THEIR DOMAINS

23. CLASSWORK  Complete the back side of your HW worksheet.  Read the directions carefully to make sure you are doing each part of the problem.  You may work with a partner.  On #14, take the radical off of the function g(x) so it is just g(x)=2x+4

24. HOMEWORK  Pg 59 #35-38, 55-60, 63, 67, 72