Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. \[ g(x)=x^{\frac{3}{2}}-x^{4}+6 \] c. It is not a polynomial because the function is the ratio of two distinct polynomials, and the polynomial in the denominator is of positive degree. Write the polynomial in standard form. Then identify the leading term and the constant term. Select the correct choice below and, if necessary, rill in the answer box to complete your choice. A. The polynomial in standard form is $g(x)=\square$ with the leading term $\square$ and the constant $\square$. (Use integers or fractions for any numbers in the expressions.) B. The function is not a polynomial.

Step 1 ：Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term.

Step 2 ：\[g(x)=x^{\frac{3}{2}}-x^{4}+6\]

Step 3 ：It is not a polynomial because the function is the ratio of two distinct polynomials, and the polynomial in the denominator is of positive degree.

Step 4 ：Write the polynomial in standard form. Then identify the leading term and the constant term. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Step 5 ：A. The polynomial in standard form is $g(x)=\square$ with the leading term $\square$ and the constant $\square$. (Use integers or fractions for any numbers in the expressions.)

Step 6 ：B. The function is not a polynomial.

Step 7 ：Final Answer: \boxed{\text{B. The function is not a polynomial.}}