End Behavior Review

The video tutorial provides an overview of N behavior in polynomials, focusing on linear and quadratic functions. It explains how the degree of a polynomial, whether odd or even, affects its end behavior. The tutorial also covers the impact of the leading coefficient and reflections on the graph's behavior. Through examples, it demonstrates how to determine the end behavior of various polynomials.

What is the end behavior of the linear function y = x as the graph moves to the right?

• The graph oscillates.

• The graph falls to the right.

• The graph rises to the right.

• The graph remains constant.

How does the end behavior of a quadratic function differ from that of a linear function?

• Both rise to the right and fall to the left.

• Quadratic functions fall to the right and rise to the left.

• Linear functions rise to both the right and left.

• Quadratic functions rise to both the right and left.

What determines the end behavior of a polynomial?

• The constant term of the polynomial.

• The degree of the polynomial.

• The coefficients of the polynomial.

• The number of terms in the polynomial.

What is the end behavior of a polynomial with an odd degree?

• Falls to both the right and left.

• Rises to the right and falls to the left.

• Falls to the right and rises to the left.

• Rises to both the right and left.

How does a negative leading coefficient affect the end behavior of a polynomial?

• It has no effect on the end behavior.

• It causes the graph to rise to the right and fall to the left.

• It causes the graph to fall to the right and rise to the left.

• It reflects the graph across the x-axis.

What happens to the end behavior of a polynomial when it is reflected across the x-axis?

• The end behavior remains unchanged.

• The polynomial becomes a quadratic function.

• The end behavior is reversed.

• The polynomial becomes a linear function.

Which of the following is true about the leading coefficient of a polynomial?

• It affects the direction of the end behavior.

• It determines the degree of the polynomial.

• It is always positive.

• It has no impact on the graph.