Final answer:
The function h(x) = 2x⁵+3x²+7/x is not a polynomial function because it contains the term 7/x, which has a negative exponent. The correct classification for this function is a rational function.
Step-by-step explanation:
To determine if the function h(x) = 2x⁵+3x²+7/x is a polynomial function, let's review the definition of a polynomial function. A polynomial function is composed of terms with non-negative integer exponents of the variable. In h(x), the term 7/x is equivalent to 7x-1, which has a negative exponent, thus disqualifying h(x) from being classified as a polynomial function. The correct classification for h(x) is a rational function, since it involves the division of two polynomials.