Exploring Polynomial Functions

Name:

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.

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.

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.

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.

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.

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.

Graph the function

by making a table of values.

a.		c.
b.		d.