Question

For each function determine whether it is a polynomial function

Answer 1

A function is a polynomial only if it contains positive integer powers of a variable

Let us consider the given functions, only the function whose variables are raised to positive powers alone will be considered as polynomial

$\begin{gathered} V(x)=5x(x-3)^2 \\ It\text{ is a polynomial (Yes)} \end{gathered}$$\begin{gathered} u(x)\text{ = -3}\sqrt[]{x} \\ It\text{ is not a polynomial(No)} \end{gathered}$$\begin{gathered} g(x)=6x^{-4}+4x \\ It\text{ is not a polynomial (No)} \end{gathered}$$\begin{gathered} f(x)\text{ = 2 - }\frac{4}{x} \\ f(x)=2-4x^{-1}_{} \\ It\text{ is not a polynomial (No)} \end{gathered}$