Identify Any Vertical, Horizontal, or Oblique Asymptotes in the Graph $x = 4$

question 326

Multiple Choice

Identify any vertical, horizontal, or oblique asymptotes in the graph of y = f(x) . State the domain of f.
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• A) Vertical: \(x = 4\); oblique: \(y = x + 5 ; ( - \infty , - 4 ) \cup ( - 4 , \infty )\)
• B) Vertical: \(x = - 4\); oblique: \(x = y - 5 ; ( - \infty , - 4 ) \cup ( - 4 , \infty )\)
• C) Vertical: \(x = 4\); oblique: \(y = x + 5 ; ( - \infty , 4 ) \cup ( 4 , \infty )\)
• D) Vertical: \(x = - 4\); oblique: \(y = x - 5 ; ( - \infty , - 4 ) \cup ( - 4 , \infty )\)

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Definitions:

Ego

In psychoanalytic theory, the part of the personality responsible for dealing with reality, balancing the demands of the id and superego.

Impulsive

Acting without forethought or consideration of the consequences, typically driven by immediate desires or emotions.

Illogical

Lacking sense or clear, sound reasoning.

Emotional

Pertaining to feelings or affective states, often influencing behavior, thought processes, and physical states.