A Function Is Given $G ( x ) = \frac { 2 } { x ^ { 2 } + x + 1 }$

question 128

Essay

A function is given.
(a) Find all the local maximum and minimum values of the function and the value of x at which each occurs
b) Find the intervals on which the function is increasing and on which the function is decreasing. State all answers correct to two decimal places. $G ( x ) = \frac { 2 } { x ^ { 2 } + x + 1 }$

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Definitions:

Centralization

The concentration of decision-making authority at the top levels of an organization or system.

Saturation

In research, it refers to the point at which collecting more data does not yield new information; broadly, it can also mean the state of being fully soaked or filled.

Efficiency

The ability to accomplish a task or goal with a minimal waste of time, effort, and resource.

Network

A system of interconnected people or things.