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:

Melanoma

A type of skin cancer arising from the melanocytes, cells that produce pigment melanin, known for its ability to spread rapidly if not treated early.

Ordinary Mole

is a small mammal known for its burrowing habits and almost blind sight, distinct from the skin growth also called a mole.

Sharply Defined

Described with precision and clarity, often referring to the distinctness of an object's edges or boundaries.

Asymmetrical

Lacking symmetry; having parts that fail to correspond to one another in shape, size, or arrangement.