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; $[ - 2 , \infty )$

Question

Quizplus · Accepted Answer

The given function $f(t) = t^2 + 2$ is a polynomial function because it is expressed as a sum of terms $t^n$ where $n$ is a non-negative integer. The domain of any polynomial function is all real numbers, which is represented in interval notation as $(-\infty, \infty)$.

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