Find the open intervals where the function is concave upward or concave downward. Find any inflection points. f (x) = 2x(x+ 1)2 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function is concave downward on the open interval(s) . The function is concave upward on the open interval(s) (Type your answers in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The function f is concave upward everywhere. O C. The function f is concave downward everywhere. OD. The function is neither concave downward nor concave upward.Find the open intervals where the function is concave upward or concave downward. Find any inflection points. f(x) = 2x(x + 1)2 O C. The function f is concave downward everywhere. O D. The function is neither concave downward nor concave upward. Find any inflection points of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function f has inflections points at (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed) O B. The function f has no inflection points