Determine whether the function is a polynomial function. If it is, identify the degree. \[ f(x)=5 x^{5}+6 x^{7} \] Choose the correct choice below and, if necessary, fill in the answer box to complete your

Step 1 ：The given function is indeed a polynomial function. A polynomial function is a function that can be expressed in the form of a polynomial.

Step 2 ：The degree of a polynomial function is the highest power of the variable in the polynomial. In this case, the highest power of the variable x in the given function is 7.

Step 3 ：Therefore, the degree of the polynomial function is 7.

Step 4 ：Final Answer: The function \(f(x)=5 x^{5}+6 x^{7}\) is a polynomial function and its degree is \(\boxed{7}\).