Find the Exact Location of All the Relative and Absolute $f ( x ) = \frac { x ^ { 2 } + 81 } { x ^ { 2 } - 81 } ; - 86 \leq x \leq 86 , x \neq \pm 9$

question 30

Multiple Choice

Find the exact location of all the relative and absolute extrema of the function. $f ( x ) = \frac { x ^ { 2 } + 81 } { x ^ { 2 } - 81 } ; - 86 \leq x \leq 86 , x \neq \pm 9$

• A) \(( 0 , - 81 )\) - absolute minimum
• B) \(( 0 , - 1 )\) - relative minimum
• C) \(( 0 , - 1 )\) - absolute maximum
• D) \(( 0,81 )\) - absolute maximum
• E) \(( 0 , - 1 )\) - relative maximum

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Definitions:

Impulse Control

The ability to resist or delay an impulse, drive, or temptation to act.

Psychoanalytic Theory

Originated by Sigmund Freud, this theory focuses on the influence of the unconscious mind on behavior, emphasizing childhood experiences and sexual drives.

Sublimation

A defense mechanism where socially unacceptable impulses or idealizations are unconsciously converted into socially acceptable actions or behavior.

Id

In psychoanalytic theory, the part of the mind in which innate instinctive impulses and primary processes are manifest.