Determine end behavior of a polynomial

The video tutorial explains the end behavior of polynomial functions, focusing on the degree and leading coefficient. It highlights that for a polynomial with an odd degree and a negative leading coefficient, the end behavior will be 'rise left, fall right'. The tutorial emphasizes understanding these concepts without graphing, as the end behavior is consistent for all odd degrees with negative leading coefficients.

What are the two key factors to consider when analyzing the end behavior of a polynomial function?

• The degree and the constant term

• The leading coefficient and the constant term

• The degree and the leading coefficient

• The constant term and the variable

If a polynomial has an odd degree, what are the possible end behaviors?

• Rise left and rise right

• Stay constant

• Fall left and fall right

• Rise right and fall left, or rise left and fall right

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

• Stay constant

• Fall right and rise left

• Rise left and fall right

• Rise right and fall left

Why is the end behavior of a polynomial with an odd degree and negative leading coefficient described as rise left and fall right?

• Because the degree is zero

• Because the leading coefficient is negative

• Because the leading coefficient is positive

• Because the degree is even

What is irrelevant when determining the end behavior of a polynomial function?

• The degree of the polynomial

• The constant term

• The leading coefficient

• The behavior in between the ends