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:

Division

A mathematical operation that involves dividing one quantity by another to determine how many times the first is contained in the second.

Multiplication

A fundamental arithmetic operation that combines two quantities to find their product.

Correct

Free from errors or inaccuracies; to make or set right.

Cent

A unit of currency equaling one hundredth of various dollar bills and other units of currency.