\( 1 \leftarrow \) Determine whether the function is a polynomial function. If it is, identify the degree. \( g(x)=2 x^{7}-\pi x^{4}+\frac{1}{7} x^{3} \) Choose the correct choice below and, if necessary, fill in the answer box to complete your choice. A. It is a polynomial. The degree of the polynomial is B. It is not a polynomial.

1. The given function is \[ g(x)=2x^7-\pi x^4+\frac{1}{7}x^3. \] 2. A polynomial is an expression consisting of terms of the form \( ax^n \) where \( a \) is a constant and \( n \) is a nonnegative integer. 3. In \( g(x) \), the powers of \( x \) are \( 7 \), \( 4 \), and \( 3 \), each of which is a nonnegative integer. 4. Thus, \( g(x) \) is indeed a polynomial function. 5. The degree of a polynomial is the largest exponent of \( x \) that appears in the function. Here, the largest exponent is \( 7 \). Answer: A. It is a polynomial. The degree of the polynomial is \( 7 \).