USING FINITE  DIFFERECE FIND OF THE POLYNOMIALS WORKSHEET

Use finite differences to determine the degree of the polynomial that best describes the data.

Problem 1 :

Solution

Problem 2 :

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Problem 3 :

Solution

Problem 4 :

Solution

Curve Fitting with Polynomial Models

Carla has been making a "wild scape" in her backyard. The table shows the number of birds visiting her feeder at the same hour

on the first day of each month since she began her project. Use a polynomial model to make a reasonable estimate of the number of birds there might be in July.

Problem 5 :

Use finite difference to determine the degree of the polynomial that best fits the data.

a. First differences ______

b. Second differences _____

c. Third differences _____

d. Fourth differences _____

e. Which degree polynomial best describes the data?

Solution

Problem 6 :

Consider this data:

a. Calculate finite differences to find the degree of the polynomial function that models these data.

b. What is the minimum number of data points required to determine the degree of this polynomial function? Why?

c. Find the polynomial function that models these data and use it to find s when n is 12.

Solution