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

---

Definitions:

Primacy Effect

The tendency to remember information that is presented first better than information that is presented later.

Networking Opportunity

A situation or event designed to facilitate the building of professional or social connections among individuals.

Company Representatives

Individuals appointed by a company to act on its behalf, engaging with external entities like customers, partners, and the public.

Personal Brand

The unique combination of skills, experiences, and personality that an individual exhibits, and how it is marketed to others.