Give the Domain and Range for the Rational Function $$f ( x ) = \frac { 1 } { x + 8 }$$

question 458

Multiple Choice

Give the domain and range for the rational function. Use interval notation.
- $$f ( x ) = \frac { 1 } { x + 8 }$$

• A) Domain: \(( - \infty , 8 ) \cup ( 8 , \infty )\); Range: \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• B) Domain: \(( - \infty , - 8 ) \cup ( - 8 , \infty )\); Range: \(( 0 , \infty )\)
• C) Domain: \(( - \infty , - 8 ) \cup ( - 8 , \infty )\); Range: \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• D) Domain: \(( - \infty , 0 ) \cup ( 0 , \infty ) ;\) Range: \(( - \infty , - 8 ) \cup ( - 8 , \infty )\)

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Definitions:

Operational Definition

A clearly defined set of procedures or criteria for identifying and measuring variables or concepts in research.

Empirically Tested

Pertains to a method or statement that has been verified or investigated through observation and experiment.

Independent Variable

In an experiment, the variable that is manipulated or changed by the researcher to observe its effects on the dependent variable.

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The action of skillfully handling, controlling, or using something or someone for one's own advantage.