Find the largest open intervals on which the function is concave upward or concave downward, and find the location of any points of inflection, f(x)= -2x^3 +2x-6Select the correct choice below and fill in the answer box(es) to complete your choice.(Type your answer in interval notation. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.) A. The function is concave upward onThe function never has an interval that is concave downward.O B. The function is concave downward onThe function never has an interval that is concave upward.OC. The function is concave upward on and concave downward onSelect the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The point(s) of inflection is/are at(Type an ordered pair. Use a comma to separate answers as needed.)0 .There is no point of inflection.