Name:    Exploring Polynomial Functions

Multiple Choice
Identify the choice that best completes the statement or answers the question.

For the given graph,
a.      describe the end behavior,
b.      determine whether it represents an odd-degree or even-degree polynomial function, and
c.      state the number of real zeros.

1.

 a. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has five real zeros. b. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has five real zeros. c. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has four real zeros. d. The end behavior of the graph is as and as .It is an even-degree polynomial function.The function has five real zeros.

2.

 a. The end behavior of the graph is as and as .It is an even-degree polynomial function.The function has four real zeros. b. The end behavior of the graph is as and as .It is an even-degree polynomial function.The function has five real zeros. c. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has four real zeros. d. The end behavior of the graph is as and as .It is an even-degree polynomial function.The function has four real zeros.

3.

 a. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has three real zeros. b. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has three real zeros. c. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has four real zeros. d. The end behavior of the graph is as and as .It is an even-degree polynomial function.The function has three real zeros.

4.

 a. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has one real zero. b. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has one real zero. c. The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has two real zeros. d. The end behavior of the graph is as and as .It is an even-degree polynomial function.The function has one real zero.

For the given function, determine consecutive values of x between which each real zero is located.

5.

 a. There is a zero between x = 0 and x = 1. b. There is a zero between x = 0 and x = –1. c. There are zeros between x = 2 and x = 3, x = 1 and x = 0, x = –1 and x = –2, x = –1 and x = –2, x = –2 and x = –3. d. There are zeros between x = 1 and x = 2, x = 0 and x = –1.

6.

Graph the function by making a table of values.
 a. c. b. d.