1. Modeling with Polynomial Functions
Notes 6.7
Modeling with Polynomial Functions

2. Turning Points
Local Maximum: The peak or highest part of the curve in a graph Local Minimum: The pit or lowest part of the curve in a graph.

3. Label the “turning points”.

4. Label the “turning points”.

5. Label the “turning points”.

6. Label the “turning points”.

7. Finding the number of turning points in an equation:
Step 1: Determine the degree (the largest exponent)
Step 2: The most turns a graph can have is one less than the degree
Step 3: Find the zeros. (set function equal to zero)
Step 4: It will have an exact number of turns if all zeros are real numbers and none are repeated “distinct”
Step 5: It will have a maximum number of turns if there are imaginary zeros

8. Find the exact or maximum number of turning points for the function
Find the exact or maximum number of turning points for the function. Label each number as exact or maximum.

9. Find the exact or maximum number of turning points for the function
Find the exact or maximum number of turning points for the function. Label each number as exact or maximum.

10. Find the exact or maximum number of turning points for the function
Find the exact or maximum number of turning points for the function. Label each number as exact or maximum.

11. Find the exact or maximum number of turning points for the function
Find the exact or maximum number of turning points for the function. Label each number as exact or maximum.

12. Find the exact or maximum number of turning points for the function
Find the exact or maximum number of turning points for the function. Label each number as exact or maximum.

13. Find the exact or maximum number of turning points for the function
Find the exact or maximum number of turning points for the function. Label each number as exact or maximum.

14. Find the exact or maximum number of turning points for the function
Find the exact or maximum number of turning points for the function. Label each number as exact or maximum.

15. Find the exact or maximum number of turning points for the function
Find the exact or maximum number of turning points for the function. Label each number as exact or maximum.

16. Homework:
P , 15-25