Determine the Equations of Any Horizontal and Vertical Asymptotes Of f

question 58

Multiple Choice

Determine the equations of any horizontal and vertical asymptotes of $$f ( x ) = \frac { x ^ { 2 } + 8 x + 15 } { x ^ { 3 } + 5 x ^ { 2 } - x - 5 }$$

• A) horizontal: \(y = 1\); vertical: \(x = - 5\)
• B) horizontal: \(y = 0\); vertical: \(x = 1\) and \(x = - 5\)
• C) horizontal: \(y = 0\); vertical: \(x = - 1\) and \(x = 1\)
• D) horizontal: none; vertical: none
• E) horizontal: \(y = 0\); vertical: \(x = - 5\) and \(x = - 3\)

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Definitions:

Income Statement

A financial statement that shows a company's revenues and expenses over a specific period of time.

Continuing Operations

The segments or units of a business that are expected to continue operations into the foreseeable future, as opposed to those segments that are being discontinued or sold.

Comparative Financial Statements

Financial statements that provide a comparison of a company's financial performance and position over multiple periods.

Percentage Analysis

A financial analysis technique that expresses each item in a financial statement as a percentage of a base amount to identify trends and make comparisons.