Final answer:
The polynomial D) (x³ - 3x⁴ + 9x - 5) represents the equation for the given function f(x) = x³ - 3x⁴ - 9x - 5.
Step-by-step explanation:
To determine which polynomial represents the given function, we need to compare the terms of the function with the options provided. The given function is f(x) = x³ - 3x⁴ - 9x - 5. We can see that the polynomial D) (x³ - 3x⁴ + 9x - 5) matches the terms of the given function. Therefore, the polynomial D) (x³ - 3x⁴ + 9x - 5) represents the equation for the given function.