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

question 12

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.
- $$h ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 8 }$$

• A) rational function; \(( \infty , \infty )\)
• B) rational function; \(( - 8 , \infty )\)
• C) rational function; \(( - \infty , 0 ) \cup ( 0 , \infty )\)
• D) rational function; \(( - \infty , - 8 ) \cup ( - 8 , \infty )\)

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Definitions:

Arbitrage

The simultaneous purchase and sale of the same assets in different markets to profit from unequal prices.

Geographic Boundaries

Demarcated physical limits of geographical areas, which can include country borders, state lines, or natural barriers.

Production Factors

The inputs used in the process of producing goods or services, typically classified as land, labor, and capital.

Globalized Market

A large market created by combining separate national markets.