Determine whether the function is a polynomial function.
-$$f ( x ) = 7 - \frac { 2 } { x ^ { 5 } }$$
A) No
B) Yes

Question

Quizplus · Accepted Answer

A polynomial function is defined as a function that can be written in the form $f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$, where $n$ is a non-negative integer and the coefficients $a_n, a_{n-1}, \ldots, a_0$ are real numbers. The given function $f(x) = 7 - \frac{2}{x^5}$ includes a term with $x$ in the denominator, which does not fit the definition of a polynomial function because polynomial functions have terms with variables raised to non-negative integer powers only.

Determine Whether the Function Is a Polynomial Function f(x)=7−2x5f ( x ) = 7 - \frac { 2 } { x ^ { 5 } }f(x)=7−x52​

Determine Whether the Function Is a Polynomial Function $f ( x ) = 7 - \frac { 2 } { x ^ { 5 } }$