How do we determine end behavior

The video tutorial explains how to determine the end behavior of polynomials. It begins by emphasizing the importance of writing polynomials in descending order. The tutorial then guides viewers on identifying the leading coefficient and degree of a polynomial. Using the leading coefficient test, the video demonstrates how to determine end behavior based on whether the leading coefficient is positive or negative and whether the degree is odd or even. Examples are provided to illustrate these concepts, and the tutorial concludes with a brief mention of additional resources for further learning.

What is the first step in determining the end behavior of a polynomial?

• Check if the leading coefficient is positive or negative

• Determine if the degree is odd or even

• Write the polynomial in descending order

• Identify the leading coefficient

What does the leading coefficient test help determine?

• The degree of the polynomial

• The end behavior of the polynomial

• The roots of the polynomial

• The symmetry of the polynomial

If a polynomial has a positive leading coefficient and an odd degree, what is its end behavior?

• Rises right, falls left

• Falls left, rises right

• Rises left, falls right

• Falls right, rises left

How does the end behavior change if the leading coefficient is negative and the degree is even?

• Falls right, rises left

• Rises right, falls left

• Falls left, falls right

• Rises left, rises right

Which of the following is true for all odd degree polynomials with a positive leading coefficient?

• They rise right and fall left

• They rise left and fall right

• They fall right and rise left

• They fall left and rise right