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

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.<br /><br />The graph of a polynomial function approaches $-\infty$ as $x$ approaches $-\infty$, and it approaches $+\infty$ as $x$ approaches $+\infty$. This indicates that the polynomial has an odd degree and a positive leading coefficient.<br /><br />Among the given options, the only one that satisfies these conditions is:<br /><br />Degree 3, leading coefficient $-1$<br /><br />Therefore, the correct answer is: degree 3, leading coefficient $-1$.