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.
- $$f ( t ) = t ^ { 2 } + 2$$

A) polynomial function; $( \infty , \infty )$
B) polynomial function; $( - 2 , \infty )$
C) polynomial function; $( - \infty , - 2 ) \cup ( - 2 , \infty )$
D) polynomial function; $[ - 2 , \infty )$