Identify the function as a power function, a polynomial function, neither, or both. \[ f(x)=\frac{x^{6}}{x^{8}+3} \]

Step 1 ：Identify the function as a power function, a polynomial function, neither, or both.

Step 2 ：The given function is \(f(x)=\frac{x^{6}}{x^{8}+3}\)

Step 3 ：This function is a rational function, which is a ratio of two polynomial functions.

Step 4 ：It is not a power function because a power function is of the form \(f(x) = kx^n\), where k and n are constants.

Step 5 ：It is not a polynomial function because a polynomial function is a sum of terms of the form \(kx^n\), where k and n are constants.

Step 6 ：Therefore, the function is neither a power function nor a polynomial function.

Step 7 ：Final Answer: \(\boxed{\text{The function } f(x)=\frac{x^{6}}{x^{8}+3} \text{ is neither a power function nor a polynomial function.}}\)