Chapter 2: Lesson 2.2 Polynomial Functions of Higher Degree

1. Chapter 2: Lesson 2.2Polynomial Functions of Higher Degree This lesson is largely based on discussions of graphs in the text • Continuous vs not continuous p 124 Figure 2.6 • Smooth rounded curves vs sharp turns p 124 Figures 2.7 and 2.8 HW #15

2. Leading Coefficient Test Odd Exponent Lead coefficient (a) is positive then x →∞, y→∞ and x →-∞, y→-∞ Lead coefficient (a) is negative then x →∞, y→-∞ and x →-∞, y→∞ Even Exponent 1) Lead coefficient (a) is positive then x →∞, y→∞ and x →-∞, y→∞ 2) Lead coefficient (a) is negative then x →∞, y→-∞ and x →-∞, y→-∞ See page 126 Use the coefficient test to describe the end behavior of:

3. Finding Zeros The maximum number of turning points (transitions from increasing to decreasing or transitions from decreasing to increasing) is always 1 less than the exponent of the lead variable.

4. Given Zeros Find the Polynomial Function Find the polynomial function with the given real zeros or x-intercepts. #57 2, -6

5. Sketching Polynomial Functions

6. Intermediate Value Theorem