Identify the Asymptotes $$f ( x ) = \frac { x ^ { 3 } - 4 x ^ { 2 } - 9 x + 8 } { x ^ { 2 } - 6 }$$

question 85

Multiple Choice

Identify the asymptotes.
- $$f ( x ) = \frac { x ^ { 3 } - 4 x ^ { 2 } - 9 x + 8 } { x ^ { 2 } - 6 }$$

• A) Vertical asymptotes: \(x = \sqrt { 6 }\) and \(x = - \sqrt { 6 }\)
• Slant asymptote: \(y = x - 4\)
• B) Vertical asymptotes: \(x = \sqrt { 6 }\) and \(x = - \sqrt { 6 }\)
• Slant asymptote: \(y = - 3 x - 16\)
• C) Vertical asymptotes: \(x = \sqrt { 6 }\) and \(x = - \sqrt { 6 }\)
• Horizontal asymptote: \(y = 1\)
• D) Vertical asymptotes: \(x = 6\) and \(x = - 6\)
• Horizontal asymptote: \(y = 1\)

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Definitions:

Five-Year Period

A fixed duration of time equaling five years, often used in contracts, legal agreements, or statutes of limitations.

Perfection

In the context of secured transactions, the legal process by which a secured party establishes the priority of its security interest against third parties.

Financing Statement

A document filed to give public notice of a secured creditor's interest in the property of a debtor, usually used in securing personal property transactions.

Secured Party

A lender or investor who has a legal right or interest in collateral pledged by a borrower to secure repayment of a loan.