What Is the Length of the Largest Interval on Which $f ( x ) = \frac { x } { x ^ { 2 } + 1 }$

question 160

Multiple Choice

What is the length of the largest interval on which the function $f ( x ) = \frac { x } { x ^ { 2 } + 1 }$ is increasing?

• A)3
• B) \(2 \sqrt { 3 }\)
• C) \(2 \sqrt { 2 }\)
• D)1
• E)4
• F) \(\sqrt { 3 }\)
• G)2
• H) \(3 \sqrt { 2 }\)

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Definitions:

Debt-Equity Ratio

An assessment ratio depicting the usage rates of equity and debt in the financing of a company's assets.

Return on Assets

A financial ratio indicating how profitable a company is relative to its total assets, showing how efficient management is at using its assets to generate earnings.

Return on Equity

ROE (Return on Equity) indicates a company's profit efficiency by showing the amount of profit made from shareholders' investments.

Current Ratio

A financial metric that measures a company's ability to pay short-term obligations or those due within one year, calculated as current assets divided by current liabilities.