Determining end behavior and degrees of a polynomial graph

The video tutorial explains how to analyze the end behavior of graphs, focusing on how graphs behave as they extend towards infinity. It describes the mathematical approach to understanding graph behavior, using terms like F of X and X axis. The tutorial also covers how to determine the degree of a polynomial by counting its zeros or X intercepts, emphasizing the difference between even and odd degrees.

What is the end behavior of a graph as it extends towards negative infinity?

• The graph oscillates.

• The graph falls to the left.

• The graph rises to the left.

• The graph remains constant.

As x approaches positive infinity, what happens to the f(x) values in the given graph?

• f(x) approaches positive infinity.

• f(x) remains constant.

• f(x) approaches negative infinity.

• f(x) oscillates.

How do you determine if a polynomial has an even degree?

• By observing the color of the graph.

• By counting the number of zeros or x-intercepts.

• By checking if the graph is symmetric.

• By counting the number of peaks in the graph.

What is the degree of a polynomial with two zeros?

• Undefined degree

• Even degree

• Zero degree

• Odd degree

If a graph has no zeros, what can be inferred about its degree?

• It must be an odd degree.

• It must be an even degree.

• It is a linear function.

• It has no degree.