1. Warm–up #3

2. Warm–up #3 Solutions

3. Homework Log Tues 11/3 Lesson 3 – 2 Learning Objective: To find difference quotients & to graph functions Hw: #304 Pg. 179 #45 – 51 odd, 54, 56, 57 – 63 odd, 64, 70 – 76 even

4. 11/3/15 Lesson 3 – 2 Difference Quotients & Function Graphs Day 2 Advanced Math/Trig

5. Learning Objective To find difference quotient To evaluate functions To graph absolute value and quadratic functions To graph step functions

6. Difference Quotient

7. Find the Difference Quotient

11. Function 4. Determine if this is a function No! It doesn’t pass the vertical line test.

12. Function Graphs

13. Vertex: (0, –4) x y V(0 – 4) – 2 – 1 1 2 – 2 – 3 – 2 Is a function. Passes the vertical line test.

14. Vertex: (3, 0) x y V(3 0) 1 2 4 5 2 1 1 2 Is a function. Passes the vertical line test.

15. Vertex: (–2, 3) x y V(– 2 3) – 4 – 3 – 1 0 5 4 4 5 Is a function. Passes the vertical line test.

16. Vertex: (0, 1) x y V(0 1) – 2 – 1 1 2 5 2 2 5 Is a function. Passes the vertical line test.

17. Vertex: (1, –5 ) x y V( 1 –5) – 1 0 2 3 3 –3 3 Is a function. Passes the vertical line test.

18. Greatest Integer Function –4–3 –2 –1 0 1 2 3 4 5 6 7

19. Graph 1.0 1.2 1.9 2.0 2.2 2.9 3.0 xy 1 1 1 2 2 2 3 y x Is a function, so must pass the vertical line test.

20. Greatest Integer Function y x Actual Table: x y

21. y x Graph 1.0 1.2 1.9 2.0 2.2 2.9 3.0 xy 3 3 3 4 4 4 5

22. y x Graph 1.0 1.2 1.9 2.0 2.2 2.9 3.0 xy –2 –1 0

23. Evaluate

24. Evaluate the difference quotient

25. Ticket Out the Door

26. Homework #304 Pg. 179 #45 – 51 odd, 54, 56, 57 – 63 odd, 64, 70 – 76 even