Specify the Domain for the Function $f ( x ) = \sqrt { x ^ { 2 } + 7 x - 18 }$

question 15

Multiple Choice

Specify the domain for the function. $f ( x ) = \sqrt { x ^ { 2 } + 7 x - 18 }$

• A) \(D = ( - \infty , - 9 ] \cup [ 2 , \infty )\)
• B) \(D = ( - \infty , - 2 ) \cup ( 9 , \infty )\)
• C) \(D = [ - 9,2 ]\)
• D) \(D = [ 2 , \infty )\)

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Definitions:

Diencephalon

A part of the brain that includes the thalamus and hypothalamus, involved in sensory and motor signal relay and the regulation of consciousness and sleep.

Midbrain

The central part of the brainstem that connects the hindbrain and forebrain, playing a key role in vision, hearing, motor control, sleep/wake, arousal, and temperature regulation.

Limbic System

A group of interconnected brain structures responsible for regulating emotions, memory, and arousal responses.

Emotions

Complex psychological states that involve physiological arousal, feelings, cognitive processes, and behavioral reactions.