Classify the Function as a Polynomial Function, Rational Function, or Root

question 152

Multiple Choice

Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation.
- $$f ( x ) = \frac { 1 } { x ^ { 2 } + 6 x - 16 }$$

• A) rational function; \(( - \infty , - 8 ) \cup ( - 8,2 ) \cup ( 2 , \infty )\)
• B) rational function; \(( - \infty , \infty )\)
• C) rational function; \(( - \infty , 2 ) \cup ( 2 , \infty )\)
• D) rational function; \(( - \infty , - 8 ) \cup ( - 8 , \infty )\)

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Definitions:

Diaphragm

A major muscle involved in the breathing process, separating the thoracic cavity from the abdominal cavity.

Secondary Bronchus

Branches of the primary bronchi that lead into each lobe of the lungs, playing a key role in the conductance of air to the lung tissues.

Primary Bronchus

The main passageway into the lungs, branching from the trachea to convey air into each lung.