Learn how to identify the end behavior

The video tutorial explains how to write polynomials in standard form, identify the degree and leading coefficient, and understand their properties. It also covers how to determine the end behavior of polynomials based on whether the degree is odd or even and whether the leading coefficient is positive or negative.

What is the degree of the polynomial 2x^5 + 3x^4 - x^3 - 7x + 1?

• 6

• 5

• 4

• 3

Which of the following is the leading coefficient of the polynomial 2x^5 + 3x^4 - x^3 - 7x + 1?

• 1

• 2

• 5

• 3

Why is it important to know if the degree of a polynomial is even or odd?

• It determines the polynomial's color.

• It affects the polynomial's end behavior.

• It changes the polynomial's coefficients.

• It alters the polynomial's roots.

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

• Fall left, fall right

• Fall left, rise right

• Rise left, fall right

• Rise left, rise right

What does the term 'rise right' indicate about a polynomial's graph?

• The graph increases to the right.

• The graph oscillates to the right.

• The graph decreases to the right.

• The graph stays constant to the right.