Find the Absolute Extrema of the Function $f ( x ) = \frac { 4 x } { x ^ { 2 } + 1 }$

question 55

Multiple Choice

Find the absolute extrema of the function $f ( x ) = \frac { 4 x } { x ^ { 2 } + 1 }$ on the interval $[ 0 , \infty )$ .

• A)The maximum of the function is 1 and the minimum of the function is 0.
• B)The maximum of the function is 0 and the minimum of the function is -2.
• C)The maximum of the function is -2 and the minimum of the function is 0.
• D)The maximum of the function is 2 and the minimum of the function is 0.
• E)The maximum of the function is 0 and the minimum of the function is 2.

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Definitions:

Negative Correlation

A relationship between two variables where one variable increases as the other decreases, and vice versa.

Computer Technology

The use of computers and software to manage information, including the development, maintenance, and use of computer systems, software, and networks for processing and distributing data.

Anonymity

The state of being anonymous, where an individual's identity is not known or is deliberately concealed.

Descriptive Methods

Research methods that involve observing and describing behavior without necessarily determining cause and effect relationships.