How to determine the end behavior of a polynomial

The video tutorial explains the concept of end behavior in functions, focusing on the degree and leading coefficient. It describes how even and odd degrees, along with positive and negative leading coefficients, affect the graph's shape. Examples include quadratic and cubic functions, illustrating how they rise or fall. The tutorial concludes with an example of determining end behavior using a specific function.

What are the two main factors to consider when determining the end behavior of a function?

• The domain and range

• The x-intercepts and y-intercepts

• The degree and the leading coefficient

• The asymptotes and discontinuities

How does the graph of a quadratic function behave if the leading coefficient is positive?

• It oscillates

• It remains constant

• It opens upward

• It opens downward

What happens to the graph of a cubic function when the leading coefficient is negative?

• It forms a horizontal line

• It falls to the right and rises to the left

• It rises to the right and falls to the left

• It forms a vertical line

In the given example, what is the degree of the function?

• 4

• 2

• 3

• 1

What is the end behavior of a function with an even degree and a positive leading coefficient?

• Rise left, fall right

• Fall left, rise right

• Rise left, rise right

• Fall left, fall right