Identify the Asymptotes $$f ( x ) = \frac { 4 x ^ { 3 } + 3 x + 3 } { 2 x ^ { 2 } - 4 x + 3 }$$

question 260

Multiple Choice

Identify the asymptotes.
- $$f ( x ) = \frac { 4 x ^ { 3 } + 3 x + 3 } { 2 x ^ { 2 } - 4 x + 3 }$$

• A) Horizontal asymptote: \(y = 2\)
• B) Slant asymptote: \(y = 2 x + 4\)
• C) Slant asymptote: \(y = 13 x - 9\)
• D) Horizontal asymptote: \(y = 1\)

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Definitions:

Id's Pleasure-Seeking Energies

The component of the human psyche in Freudian psychology associated with instinctual urges and drives for immediate gratification.

Psychosexual Stages

The childhood stages of development (oral, anal, phallic, latency, genital) during which, according to Freud, the id’s pleasure-seeking energies focus on distinct erogenous zones.

Archetypes

Fundamental, universal symbols or patterns that recur in myths, stories, and dreams, representing common human experiences.

Oedipus Complexes

The Oedipus complex is a concept in psychoanalytic theory referring to a child's feelings of desire for their opposite-sex parent and jealousy and rivalry with their same-sex parent.