What is the end behavior of the graph of the polynomial function f of x is equal to negative x to the 5th power plus 9 x to the 4th power minus 18 x cubed ?

The leading term is −x⁵, which determines the polynomial’s end behavior because it has the highest power. Since the degree is odd and the leading coefficient is negative, the graph rises on the left and falls on the right: as x approaches negative infinity, y approaches infinity, and as x approaches infinity, y approaches negative infinity. This matches choice D.

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