Find the Exact Location of All the Relative and Absolute $f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 48 }$

question 3

Multiple Choice

Find the exact location of all the relative and absolute extrema of the function.
$f ( x ) = \frac { x ^ { 3 } } { x ^ { 2 } - 48 }$
Select all correct answers.

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Definitions:

Reserve Requirements

Regulations set by central banks determining the minimum amount of reserves that banks must hold against deposits, influencing liquidity and lending capacities.

Recessionary Conditions

Economic circumstances characterized by negative growth, reduced consumer spending, and increased unemployment.

Discount Rate

The interest rate charged to commercial banks and other financial institutions for loans received from the central bank's discount window.

Treasury Securities

Government bonds issued by the Treasury of a country, considered low-risk investments since they are backed by the government's credit.