Exploring End Behavior of Polynomials

What two factors are crucial in determining the end behavior of a polynomial?

• The leading coefficient and the constant term

• The degree and the number of zeros

• The highest power and the leading coefficient

• The number of terms and the constant term

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

• One end goes to positive infinity and the other to negative infinity

• Both ends go to negative infinity

• One end goes to negative infinity and the other to zero

• Both ends go to positive infinity

For a polynomial with an even degree and a negative leading coefficient, what happens to the graph as x approaches positive and negative infinity?

• One end goes to zero and the other to negative infinity

• Both ends go to positive infinity

• Both ends go to negative infinity

• One end goes to positive infinity and the other to negative infinity

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

• Both ends go to positive infinity

• Both ends go to negative infinity

• One end goes to negative infinity and the other to zero

• One end goes to positive infinity and the other to negative infinity

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

• One end goes to negative infinity and the other to positive infinity

• One end goes to positive infinity and the other to negative infinity

• Both ends go to negative infinity

• Both ends go to positive infinity

When analyzing a graph, what information can be determined from the end behavior?

• The leading coefficient and the number of terms

• The number of zeros and the constant term

• The degree and the leading coefficient

• The number of terms and the constant term

How many distinct zeros are present if a graph has six x-intercepts?

• Three

• Four

• Six

• Five

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

• Both ends go to positive infinity

• Both ends go to negative infinity

• One end goes to negative infinity and the other to zero

• One end goes to positive infinity and the other to negative infinity

For a polynomial with a degree of five and a negative leading coefficient, what is the end behavior?

• One end goes to negative infinity and the other to positive infinity

• One end goes to positive infinity and the other to negative infinity

• Both ends go to negative infinity

• Both ends go to positive infinity

What is the leading coefficient of the polynomial 6x^6 + 3x^5 - 2x^4?

• -2

• 3

• 5

• 6