Do Problems 1-2.
Do Problem 3. To determine the lowest possible degree of a polynomial from its graph, find the points at which the graph's slope becomes zero. At each such point, count one if the slopes of the graph on either side of the point are different. (Such a point is a local minimum or a local maximum.) Count two if the slopes on either side are the same. (This occurs, for example, at the point (0,0) on the graph of y = x³.) Add up the counts, and then add one at the end. That is the minimum possible degree of the polynomial.
Do a few from the group 7-10.
Do a few from the group 13-22.
Do a few from the group 23-30.
Do 31 and/or 32.
Do 33 and/or 34.
Do 37 and/or 38.
49 is an interesting problem.

Answers to the odd-numbered problems appear near the back of the textbook.