Open the “Multiplicity” interactive figure, which is available in the Video & Resource Library of MyLab Math (under Interactive Figures) or at bit.ly/3raFUGB.

(a) Set the value of c to 1. Set the value of a to 1 and b to 1. What is the degree of the polynomial? How many turning points does the graph have?

(b) Keep the value of c at 1. Set the value of a to 2 and b to 1. What is the degree of the polynomial? How many turning points does the graph have?

(c) Keep the value of c at 1. Set the value of a to 2 and b to 2. What is the degree of the polynomial? How many turning points does the graph have?

(d) Keep the value of c at 1. Set the value of a to 3 and b to 1. What is the degree of the polynomial? How many turning points does the graph have?

(e) Keep the value of c at 1. Set the value of a to 3 and b to 3. What is the degree of the polynomial? How many turning points does the graph have?

(f) If f is a polynomial of degree n, then f has at most_________ turning points.

(g) If f is a polynomial of degree 5, then f could have 4,_________ , or 0 turning points.

(h) True or False If f is a polynomial of degree 4, then f could have 2 turning points.