Finding end behavior of a polynomial not in standard form

The video tutorial explains how to identify the behavior of polynomials by examining their degree and leading coefficient. It discusses the importance of determining whether the leading coefficient is positive or negative and whether the degree is even or odd. The tutorial then covers how to write and interpret limits to describe the end behavior of functions, using specific notation to indicate whether a function rises or falls as it approaches positive or negative infinity.

What is the first step in identifying the behavior of a polynomial?

• Determine the roots of the polynomial

• Write the polynomial expression

• Find the derivative of the polynomial

• Calculate the integral of the polynomial

Why is the leading coefficient important in determining polynomial behavior?

• It affects the polynomial's symmetry

• It determines if the polynomial is positive or negative

• It shows whether the polynomial is increasing or decreasing

• It indicates the polynomial's degree

How does the degree of a polynomial affect its behavior?

• It alters the polynomial's symmetry

• It determines the polynomial's roots

• It changes the polynomial's leading coefficient

• It affects the polynomial's end behavior

What does a negative leading coefficient and an odd degree indicate about a polynomial's end behavior?

• Falls both sides

• Rises left, falls right

• Falls left, rises right

• Rises both sides

What does the limit as x approaches negative infinity tell us about a polynomial's behavior?

• The polynomial's maximum value

• The polynomial's minimum value

• The polynomial's behavior to the left

• The polynomial's behavior to the right