Determine the Equations of the Vertical and Horizontal Asymptotes of the Graph

question 80

Multiple Choice

Determine the equations of the vertical and horizontal asymptotes of the graph of the function $$f ( x ) = \frac { 2 x ^ { 2 } } { x ^ { 2 } - 9 }$$

• A) horizontal: \(y = - 3\); vertical: \(x = 2\)
• B) horizontal: \(x = 3\) and \(x = - 3\); vertical: \(y = - 2\)
• C) horizontal: \(y = 2\); vertical: \(x = 3\) and \(x = - 3\)
• D) horizontal: \(x = - 2\); vertical: \(y = 3\) and \(y = - 3\)
• E) horizontal: \(y = 2\); vertical: \(x = 3\)

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Definitions:

Dissociative Disorder

A mental disorder characterized by a disconnection between thoughts, identity, consciousness, and memory.

Integrated Functions

The coordinated operations of various systems or processes, often referring to the integration within biological systems or in computational and engineering contexts.

Consciousness

A person’s awareness of everything that is going on around him or her at any given time.

Memory

The cognitive function that allows individuals to encode, store, and retrieve information.