Determine the Equations of Any Horizontal and Vertical Asymptotes Of f

question 58

Multiple Choice

Determine the equations of any horizontal and vertical asymptotes of $$f ( x ) = \frac { x ^ { 2 } + 8 x + 15 } { x ^ { 3 } + 5 x ^ { 2 } - x - 5 }$$

• A) horizontal: \(y = 1\); vertical: \(x = - 5\)
• B) horizontal: \(y = 0\); vertical: \(x = 1\) and \(x = - 5\)
• C) horizontal: \(y = 0\); vertical: \(x = - 1\) and \(x = 1\)
• D) horizontal: none; vertical: none
• E) horizontal: \(y = 0\); vertical: \(x = - 5\) and \(x = - 3\)

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Definitions:

Power Assertion

A disciplinary technique that involves the use of authority, demands, or physical force to enforce child compliance, often criticized for its potential negative psychological effects.

Induction

A method of reasoning in which specific observations or instances are used to form a general conclusion or principle.

Manipulation

The act of controlling or influencing someone or something to achieve a desired outcome, often without the awareness of the person being influenced.

Adolescence

The period of life transitioning from childhood to adulthood, typically involving significant physical, psychological, and social changes.