Use the polynomial function below to answer the following questions.

$\displaystyle {g{{\left({x}\right)}}}=-{2}{x}^{{6}}-{11}{x}^{{5}}+{6}{x}^{{3}}+{12}{x}^{{2}}+{8}{x}$

a) Determine the leading term of polynomail function shown above.

L.T.$\displaystyle =$Preview Question 6 Part 1 of 2  

b) Use the leading term to identify the end behavior for the graph of the polynomial function. Select the correct choice below.