Question
The graph of a polynomial function approaches -infty as x approaches -infty , and approaches+infty asx approaches+infty . Which could be the degree and leading coefficient of this function? degree 3, leading coefficient -1 degree 4, leading coefficient.1 degree 5, leading coefficient degree 6, leading coefficient -1
Solution
4.3
(228 Votos)
Alexis
Mestre · Tutor por 5 anos
Resposta
To determine the degree and leading coefficient of the polynomial function based on the given behavior, we need to consider the end behavior of the polynomial.The graph of a polynomial function approaches
as
approaches
, and it approaches
as
approaches
. This indicates that the polynomial has an odd degree and a positive leading coefficient.Among the given options, the only one that satisfies these conditions is:Degree 3, leading coefficient
Therefore, the correct answer is: degree 3, leading coefficient
.