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

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; $( - \infty , - 8 ) \cup ( - 8 , \infty )$