Determine the end behavior of a graph as well as the zeros and degree

The video tutorial explains how to determine the end behavior of polynomial functions using the leading coefficient test and graph analysis. It covers estimating zeros and determining whether a polynomial is of odd or even degree based on the number of zeros. The tutorial emphasizes understanding the behavior of the graph as x approaches positive and negative infinity.

What happens to the output values of a polynomial function as the x-values approach positive infinity?

• The output values remain constant.

• The output values approach negative infinity.

• The output values approach positive infinity.

• The output values approach zero.

If a polynomial graph falls to the left and right, what can be inferred about its end behavior?

• The graph falls to the left and right.

• The graph rises to the left and right.

• The graph falls to the left and rises to the right.

• The graph rises to the left and falls to the right.

How many zeros does a polynomial function have if it has two x-intercepts?

• None

• One

• Two

• Three

What is the relationship between the number of zeros and the degree of a polynomial function?

• An odd degree function has no zeros.

• An odd degree function has an even number of zeros.

• An even degree function has an even number of zeros or none.

• An even degree function has an odd number of zeros.

Which of the following indicates an even degree polynomial function?

• The graph has no zeros.

• The graph has two zeros.

• The graph has one zero.

• The graph has three zeros.