Exploring End Behavior of Polynomials

What is the degree of a polynomial?

• The sum of the coefficients

• The constant term in the polynomial

• The highest exponent of x in the polynomial

• The number of terms in the polynomial

Which of the following is an example of an odd degree polynomial?

• y = x^6

• y = x^2

• y = x^4

• y = x^3

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

• One end goes down and the other goes up

• One end goes up and the other goes down

• Both ends go down

• Both ends go up

How does the end behavior change for an odd degree polynomial if the leading coefficient is negative?

• One end goes down and the other goes up

• One end goes up and the other goes down

• Both ends go down

• Both ends go up

What is the end behavior of an even degree polynomial with a positive leading coefficient?

• Both ends go up

• Both ends go down

• One end goes up and the other goes down

• One end goes down and the other goes up

What happens to the end behavior of an even degree polynomial if the leading coefficient is negative?

• Both ends go up

• Both ends go down

• One end goes up and the other goes down

• One end goes down and the other goes up

In a polynomial with mixed terms, what determines the end behavior?

• The sum of all coefficients

• The term with the highest exponent

• The number of terms

• The constant term

For the polynomial 3x^4 + 2x^3 - x + 5, what is the end behavior?

• Both ends go up

• Both ends go down

• One end goes up and the other goes down

• One end goes down and the other goes up

For the polynomial 4x^3 - 2x^2 + x - 1, what is the end behavior?

• One end goes up and the other goes down

• Both ends go down

• Both ends go up

• One end goes down and the other goes up

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

• One end goes down and the other goes up

• One end goes up and the other goes down

• Both ends go down

• Both ends go up