Answer :
Final answer:
The end behavior model for the given polynomial function is g(x) = 2x⁶. Therefore the correct option is d.
Explanation:
The end behavior of a polynomial function is determined by the degree and the leading coefficient of the function. In this case, the polynomial function is f(x) = 8x⁶ - 16x³ + 8/4x² - 4x - 24. The degree of the function is 6, which means the highest power of x is 6.
The leading coefficient is 8, which is the coefficient of the term with the highest power of x. Therefore, the end behavior model for this function is g(x) = d. 2x⁶.
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