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

question 57

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:

Sequential Method

A method of executing tasks or operations one after the other in a specified sequence.

Support Departments

Internal operational units within an organization that provide essential services or support to the primary revenue-generating functions.

Janitorial Department Costs

Expenses associated with maintaining the cleanliness and functionality of a company's physical premises, including salaries of custodial staff and cleaning supplies.

Sequential Method

A process of handling tasks one after another in a specific order.