Determine the end behavior of a polynomial

The video tutorial explains how to analyze the end behavior of a polynomial by focusing on its degree and leading coefficient. The instructor demonstrates how to rewrite a polynomial in descending order and discusses the significance of the degree and leading coefficient in determining the graph's end behavior. The tutorial covers how even and odd degrees, along with positive or negative leading coefficients, affect the graph's direction. The concept of infinity is also addressed, illustrating how the graph extends towards positive and negative infinity. The video concludes with a summary of the leading coefficient test.

What is the correct order to arrange the terms of a polynomial?

• Alphabetical order

• Descending order of exponents

• Ascending order of coefficients

• Random order

Which of the following determines the end behavior of a polynomial?

• The constant term

• The number of terms

• The sum of coefficients

• The degree and leading coefficient

If a polynomial has an even degree and a negative leading coefficient, what is the end behavior of its graph?

• Rises left, falls right

• Falls left, falls right

• Falls left, rises right

• Rises left, rises right

What happens to the graph of a polynomial as the x-values approach infinity?

• The graph approaches zero

• The graph remains constant

• The graph approaches positive infinity

• The graph approaches negative infinity

How does the leading coefficient test help in graphing polynomials?

• It determines the number of roots

• It identifies the y-intercept

• It predicts the end behavior

• It calculates the slope