1. Mrs. Rivas International Studies Charter School.

2. Mrs. Rivas International Studies Charter School.

3. Mrs. Rivas International Studies Charter School.

4. Mrs. Rivas International Studies Charter School. Smooth, Continuous Graphs

5. Mrs. Rivas International Studies Charter School. End Behavior of Polynomial Functions

6. Mrs. Rivas International Studies Charter School.

7. Mrs. Rivas International Studies Charter School. Using the Leading Coefficient Test Example 1

8. Mrs. Rivas International Studies Charter School. Using the Leading Coefficient Test Example 1

9. Mrs. Rivas International Studies Charter School. Using the Leading Coefficient Test Example 2

10. Mrs. Rivas International Studies Charter School. Using the Leading Coefficient Test Example 3

11. Mrs. Rivas International Studies Charter School. Using the Leading Coefficient Test Example 4

12. Mrs. Rivas International Studies Charter School. Using the Leading Coefficient Test Example 4

13. Mrs. Rivas International Studies Charter School. Zeros of Polynomial Functions

14. Mrs. Rivas International Studies Charter School. Finding Zeros of a Polynomial Function Example 5

15. Mrs. Rivas International Studies Charter School. Finding Zeros of a Polynomial Function Example 6

16. Mrs. Rivas International Studies Charter School. Multiplicities of Zeros

17. Mrs. Rivas International Studies Charter School. Finding Zeros of a Polynomial Function Example 7

18. Mrs. Rivas International Studies Charter School. The Intermediate Value Theorem

19. Mrs. Rivas International Studies Charter School. Using the Intermediate Value Theorem Example 8

20. Mrs. Rivas International Studies Charter School. Turning Points of Polynomial Functions Another important characteristic of graphs of polynomial function is that they have turning points corresponding to local maximum and minimum values

21. Mrs. Rivas International Studies Charter School. Turning Points of Polynomial Functions at most n-1 1.The graph of every polynomial function of degree n, then the graph has at most n-1 turning points. distinct real zerosexactlyn-1 2.If a polynomial function has n distinct real zeros, then has exactly n-1 turning points

22. Mrs. Rivas International Studies Charter School. A Strategy for Graphing Polynomial Functions

23. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 9

24. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 9

25. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 9

26. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 9

27. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 9

28. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 9

29. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 9

30. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 10 Step 1: Step 1: Determine the graph’s end behavior. Use the Leading Coefficient Test, described before, to find if the graph rises or falls to the left and to the right.Leading Coefficient Test -1 Leading Coefficient is -1 4 Even Degree is 4 Even

31. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 10...

32. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 10 Step 3: Step 3: Find the y-intercept of the function f(0)....

33. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 10 Step 4: Step 4: Determine if there is any symmetry....

34. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 10 Step 5: Step 5: Find the number of maximum turning points....

35. Mrs. Rivas International Studies Charter School. Graphing a Polynomial Function Example 10 Step 6: Step 6: Find extra points, if needed.... Step 7: Step 7: Draw the graph......... Local Minimum Local Maximum

36. Mrs. Rivas International Studies Charter School Pages: Pages: 312-313 # Check Points 1-9 and # 2-64 Even Quote “It had long since come to my attention that people of accomplishment rarely sat back and let things happened to them. They went out and happened to things” Leonardo da Vinci