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What is the equation of \( f(x) \)?

A) \( x^8 - 9x^7 + 4x - 6 \)

B) \( x^8 - 9x^7 + 4x \)

C) \( x^8 - 9x^7 - 4x - 6 \)

D) \( x^8 - 9x^7 - 4x \)

Answer :

Final Answer:

The complete equation of the function f(x) is given by option C) x⁸ - 9x⁷ - 4x - 6.

Explanation:

The task is to determine the complete equation of the function f(x) from the provided options. After careful examination, the correct expression is found in option C) x⁸ - 9x⁷ - 4x - 6. This polynomial function is of the 8th degree, featuring terms with powers of x ranging from x⁸ to the constant term (-6). The coefficients of each term are also explicitly specified in the equation. It is crucial to scrutinize each option attentively to identify the accurate mathematical representation of the function. In this instance, option C) precisely matches the given function.

To further elaborate, the terms in the polynomial function represent the coefficients of the different powers of x. The exponents indicate the degree of each term, and the coefficients are the numerical factors multiplying the respective powers of x. In this equation, the highest power of x is x⁸, and each term contributes to the overall function.

Therefore, the complete equation of the function f(x) is x⁸ - 9x⁷ - 4x - 6, as per option C.

Please note that the correct option for the equation of f(x) is C) x⁸ - 9x⁷ - 4x - 6.

Complete Question:

Determine the complete equation of the function f(x) from the given options:

A) x⁸ - 9x⁷ + 4x - 6

B) x⁸ - 9x⁷ + 4x

C) x⁸ - 9x⁷ - 4x - 6

D) x⁸ - 9x⁷ - 4x

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