A Identify the Horizontal Asymptote (If Any) $$f ( x ) = \frac { 2 x ^ { 2 } + 2 x - 5 } { x ^ { 2 } + 2 }$$

question 127

Multiple Choice

a. Identify the horizontal asymptote (if any) .
b. If the graph of the function has a horizontal asymptote, determine the point where the graph crosses the
horizontal asymptote.
- $$f ( x ) = \frac { 2 x ^ { 2 } + 2 x - 5 } { x ^ { 2 } + 2 }$$

• A) a. \(y = 0\)
• b. Graph does not cross \(y = 0\).
• B) a. \(y = 0\)
• b. \(\left( - \frac { 5 } { 2 } , 0 \right)\)
• C) a. \(y = 2\)
• b. \(\left( \frac { 9 } { 2 } , 2 \right)\)
• D) a. No horizontal asymptote
• b. Not applicable

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Definitions:

Ratio Analysis

The quantitative analysis of financial information in a company's financial statements, used to evaluate performance, liquidity, profitability, and solvency.

Base Period

The specific time period used as a comparison benchmark for financial analysis or calculating indices.

Analysis Period

The specific timeframe during which financial or other data is examined for the purpose of making evaluations or decisions.

Key Factors

Essential elements or variables that have a significant impact on the outcome of a process or decision.