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The Graph of a Polynomial Function Approaches -infty as X Approaches -infty , and Approaches+infty Asx Approaches+infty . Which Could

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

Verificación de expertos
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 .