State the Domain and Range of the Function $$f ( x ) = - 6 e ^ { - x } + 1$$

question 304

Multiple Choice

State the domain and range of the function.
- $$f ( x ) = - 6 e ^ { - x } + 1$$

• A) domain: \(( - \infty , \infty ) \cup ( - \infty , \infty )\); range: \(( - \infty , 1 )\)
• B) domain: \(( - \infty , \infty )\); range: \(( - \infty , \infty )\)
• C) domain: \(( - \infty , \infty )\); range: \(( - \infty , 1 ]\)
• D) domain: \(( - \infty , \infty )\); range: \(( - \infty , 1 )\)

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Definitions:

Chemical Sense

A type of sensory perception, including taste and smell, that allows organisms to detect chemical substances in their environment.

Vestibular Sense

The sensory system that contributes to balance and spatial orientation by sensing gravity and motion.

Kinesthesis

The sense of movement and body position, allowing individuals to be aware of their limbs and body parts in space without having to see them.

Audition

Audition, or hearing, is the sense and process by which sound waves are detected by the ear and transmitted to the brain for interpretation, enabling sound perception.