Graph the Rational Function $$f ( x ) = \frac { x ^ { 2 } + 5 x } { ( x - 4 ) ^ { 2 } }$$

question 107

Multiple Choice

Graph the rational function.
- $$f ( x ) = \frac { x ^ { 2 } + 5 x } { ( x - 4 ) ^ { 2 } }$$

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Definitions:

Carbanion

An ion that contains a negatively charged carbon atom, typically highly reactive in organic chemistry.

Carbocation

A species characterized by a carbon atom bearing a positive charge and three bonds instead of the usual four, making it highly reactive in organic reactions.

4-Phenylbutan-2-ol

An organic compound with the structure of butan-2-ol substituted with a phenyl group at the fourth carbon.

3-Phenylpropanal

An organic compound characterized by a benzene ring attached to a three-carbon chain ending in an aldehyde group.