Find the Exact Location of All Absolute Extrema of the Function

question 57

Multiple Choice

Find the exact location of all absolute extrema of the function. Round your answers to four decimal places.
$f ( x ) = \frac { x - 2 } { x ^ { 2 } + 45 }$
Select all correct answers.

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Definitions:

Free-Rider Problem

A situation in economics where individuals consume more than their fair share of a public resource, or shoulder less of the cost of its provision, leading to underproduction or depletion of the resource.

Aristotle

An ancient Greek philosopher and scientist, one of the greatest intellectual figures of Western history.

Free Riders

Free riders are individuals who benefit from resources, goods, or services without paying for the cost of the benefit, often leading to inefficiencies in markets or public services.

Efficient Outcome

A state in which resources are allocated in a way that maximizes total surplus; there are no missed opportunities in production or consumption.