What is end behavior of a polynomial

The video tutorial explains the concept of end behavior in graphs, particularly focusing on continuous graphs in a Cartesian coordinate system. It discusses how graphs extend to infinity and how end behavior can be predicted using the leading coefficient test. The tutorial highlights that for polynomials with even degrees and positive leading coefficients, the graph will rise to both the left and right. The video concludes with a summary of these concepts.

What does end behavior help us understand about graphs?

• The exact shape of the graph

• Where the graph will extend to infinity

• The color of the graph

• The speed of graph plotting

In the context of a parabola, what does end behavior indicate?

• The graph will rise to the right and left

• The graph will eventually stop

• The graph will change color

• The graph will shrink

What is the significance of the leading coefficient test?

• It determines the color of the graph

• It predicts the end behavior of polynomials

• It calculates the speed of graph plotting

• It changes the graph's shape

For polynomials with even degrees and positive leading coefficients, what is true about their end behavior?

• They will fall to the right and rise to the left

• They will fall to the left and rise to the right

• They will rise to the left and right

• They will remain constant

How does the leading coefficient test help without knowing the graph's exact shape?

• It changes the graph's color

• It predicts the graph's speed

• It alters the graph's size

• It determines the end behavior