Determine Whether the Graph of the Rational Function Has a Horizontal

question 4

Multiple Choice

Determine whether the graph of the rational function has a horizontal asymptote, an oblique asymptote, or neither. Give
the equation of the asymptote if it exists.
- $f ( x ) = \frac { 5 x ^ { 2 } + 20 x + 30 } { x - 4 }$

• A)Horizontal asymptote: y = 5
• B)Oblique asymptote: y = 5x + 40
• C)Neither

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Definitions:

Behaviorism

A theory of learning based on the idea that all behaviors are acquired through conditioning, and that environment and experiences determine behavior, neglecting internal mental states.

Psychoanalytic Theory

A theory of psychology proposed by Freud that aims to explain human behavior through unconscious motives, conflicts, and past experiences.

Freud

Sigmund Freud, an Austrian neurologist and the founder of psychoanalysis, a method for treating psychopathology.

Psychosexual Theory

A theory proposed by Sigmund Freud that suggests human development occurs in a series of fixed stages, each characterized by sexual pleasure centered on a particular part of the body.