Exploring Polynomial End Behavior

The video tutorial explains the end behavior of polynomials, determined by the leading term's degree and coefficient. It covers how even and odd degrees affect the end behavior, with examples illustrating these concepts. The impact of positive and negative coefficients on the polynomial's end behavior is also discussed. The tutorial concludes with a review of the key points.

What determines the end behavior of a polynomial?

• The middle term

• The leading term

• The constant term

• The smallest degree term

For an even degree polynomial with a positive leading coefficient, how does the end behavior look?

• 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 an odd degree polynomial with a positive leading coefficient, how does the end behavior look?

• One end goes up, the other goes down

• Both ends go down

• Both ends go up

• One end goes down, the other goes up

For an even degree polynomial with a negative leading coefficient, how does the end behavior look?

• One end goes up, the other goes down

• Both ends go down

• One end goes down, the other goes up

• Both ends go up

For an odd degree polynomial with a negative leading coefficient, how does the end behavior look?

• One end goes up, the other goes down

• One end goes down, the other goes up

• Both ends go down

• Both ends go up

What is the end behavior of x^4 with a positive leading coefficient?

• One end goes down, the other goes up

• Both ends go down

• Both ends go up

• One end goes up, the other goes down

What is the end behavior of x^3 with a positive leading coefficient?

• One end goes up, the other goes down

• Both ends go down

• One end goes down, the other goes up

• Both ends go up

What is the end behavior of x^2 with a negative leading coefficient?

• Both ends go up

• Both ends go down

• One end goes down, the other goes up

• One end goes up, the other goes down

What is the end behavior of x^5 with a negative leading coefficient?

• One end goes down, the other goes up

• One end goes up, the other goes down

• Both ends go down

• Both ends go up

What is the end behavior of x^98 with a negative leading coefficient?

• One end goes up, the other goes down

• Both ends go up

• Both ends go down

• One end goes down, the other goes up