Answer:
(c) No; There is an exponent on a variable x that is not a whole number
Explanation:
Given
![f(x) = x^2 - \sqrt[5]{x}](https://img.qammunity.org/2022/formulas/mathematics/college/vrj796dj9mr8oz1p9r51wi0z3bisk79omd.png)
Required
Determine if the function is a polynomial function of not
A polynomial function is represented as:

Where n is an integer and the least power is 0
So, we have:
![f(x) = x^2 - \sqrt[5]{x}](https://img.qammunity.org/2022/formulas/mathematics/college/vrj796dj9mr8oz1p9r51wi0z3bisk79omd.png)
The degree of x is
----- i.e. not an integer
Hence, the function is not a polynomial