Exploring End Behavior of Polynomial Functions

What does the end behavior of a polynomial with an even degree and a positive leading coefficient look like?

• Both ends go up

• Both ends go down

• One end goes up, the other goes down

• One end goes down, the other goes up

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

• One end goes down, the other goes up

• One end goes up, the other goes down

• Both ends go down

• Both ends go up

For a polynomial with an odd degree and a positive leading coefficient, what is the end behavior?

• Both ends go up

• Both ends go down

• Falls to the left, rises to the right

• Rises to the left, falls to the right

What is the end behavior of a polynomial with an odd degree and a negative leading coefficient?

• Rises to the left, falls to the right

• Falls to the left, rises to the right

• Both ends go up

• Both ends go down

Which of the following statements is true for a polynomial with an even degree?

• The left end always goes down

• The right end always goes up

• The ends go in different directions

• The ends go in the same direction

In the polynomial 4x^5 - 8x^4 + 6x^2 - 6x, what is the end behavior?

• Falls to the left, rises to the right

• Rises to the left, falls to the right

• Both ends go down

• Both ends go up

What is the degree of the polynomial 4x^5 - 8x^4 + 6x^2 - 6x?

• 2

• 4

• 5

• 6

When identifying the leading term of the polynomial (x - 3)^3, what is the degree of the polynomial?

• 2

• 3

• 1

• 4

For the polynomial (x - 3)^3 with a negative leading coefficient, what is the end behavior?

• Both ends go up

• Rises to the left, falls to the right

• Both ends go down

• Falls to the left, rises to the right

What is the leading term of the polynomial 2x^3 + 5x^2 - 3x + 1?

• 5x^2

• 2x^3

• 3x

• 1