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:

Graphing Calculator

An electronic calculator capable of displaying and analyzing mathematical functions graphically.

Inequality

A mathematical expression showing that two quantities are not equal, using symbols like <, >, ≤, or ≥.

Graphing Calculator

A graphing calculator is a handheld computer that is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables.

Inequality

A mathematical statement that shows the relationship of non-equality between two values or expressions.