Determine whether the given function is a polynomial function or rational function.State the degree, if it is a polynomial function.
A)The given function is a polynomial function with degree 12
B)The given function is a polynomial function with degree 6
C)The given function is a polynomial function with degree 2
D)The given function is a rational function
E)The given function is a rational function with degree 6

Question

Determine whether the given function is a polynomial function or rational function.State the degree, if it is a polynomial function. 
A)The given function is a polynomial function with degree 12 
B)The given function is a polynomial function with degree 6 
C)The given function is a polynomial function with degree 2 
D)The given function is a rational function 
E)The given function is a rational function with degree 6

Quizplus · Accepted Answer

A polynomial function is a function that can be expressed as a sum of power functions in which the exponents are all non-negative integers. A rational function is a function that can be expressed as a ratio of two polynomial functions. The given function contains terms with both positive and negative exponents, indicating it is not a polynomial function. However, it can be expressed as a ratio of two polynomial functions, making it a rational function. Therefore, the correct choice is D. The degree of the function is not relevant in this case.

Determine Whether the Given Function Is a Polynomial Function or Rational