A Function Is Given $G ( x ) = \frac { 3 } { x ^ { 2 } + x + 1 }$

question 40

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.
$G ( x ) = \frac { 3 } { x ^ { 2 } + x + 1 }$

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Definitions:

Histology

Investigating the tiny anatomical details of tissues.

Tissue

Groups of cells in an organism that have similar structure and function; types include muscle, nerve, epithelial, and connective tissues.

Cell

The basic structural, functional, and biological unit of all known living organisms, a building block of life.

Disease

A condition that negatively affects the structure or function of part or all of an organism, and is not due to any external injury.