Answer:
(c) No; There is an exponent on a variable x that is not a whole number
Step-by-step explanation:
Given
[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]
Required
Determine if the function is a polynomial function of not
A polynomial function is represented as:
[tex]f(x) =ax^n + bx^{n-1} + cx^{n-2}+........+z[/tex]
Where n is an integer and the least power is 0
So, we have:
[tex]f(x) = x^2 - \sqrt[5]{x}[/tex]
The degree of x is [tex]\frac{1}{5}[/tex] ----- i.e. not an integer
Hence, the function is not a polynomial
