5.1 Polynomial Functions

1. 5.1 Polynomial Functions P280-284

2. Standard form of a polynomial function: Terms are arranged by degree in descending numerical order.

4. Ex) Write in standard form. Then classify by degree and number of terms. a) b)

5. Ex) What is the end behavior of the graph? a) b)

6. Turning point : change in the direction in terms of y…from increasing to decreasing or from decreasing to increasing. Maximum # turning points : n-1, where n is the degree

7. Ex) Describe the shape of the graph, Including end behavior, turning points, and increasing/decreasing intervals. a)

8. Ex) Describe the shape of the graph, Including end behavior, turning points, and increasing/decreasing intervals. b)

9. Ex) Determine the degree of the polynomial.

10. Given a set of ordered pairs, with consecutive x-values that differ by a constant value, the degree of the polynomial can be determined by looking at when the differences of consecutive y-values become constant.