Find All Horizontal and Vertical Asymptotes of the Function $s ( x ) = \frac { x ^ { 3 } + 6 x ^ { 2 } } { x ^ { 2 } - 25 }$

question 109

Essay

Find all horizontal and vertical asymptotes of the function $s ( x ) = \frac { x ^ { 3 } + 6 x ^ { 2 } } { x ^ { 2 } - 25 }$ .

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Definitions:

Hypothesis Generation

The process of formulating a testable statement based on observations, theories, or existing evidence, to be investigated in research.

Deception

The act of misleading or falsely convincing others of something in order to gain advantage or hide the truth.

Serious Personal Harm

involves significant physical, emotional, or psychological injury or damage to an individual, often discussed in contexts of ethics, law, and personal well-being.

Ethical Leadership

A leadership approach that is guided by respecting ethical principles and values, and inspiring the same respect in followers through actions and decisions.