Identify the inflection points and local maxima and minima of the function graphed to the right. Identify the open intervals on which the function is differentiable and is concave up and concave down. Find each local minimum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. There is one local minimum value of at x = OB. There are two local minima. In increasing order of x-value, the values are at x = and OC. There are no local minima. Find the open interval(s) on which the function is differentiable and concave up. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The interval(s) is/are (Use a comma to separate answers as needed. Type your answer in interval notation.) OB. The function is never concave up. at x = Find the open interval(s) on which the function is differentiable and concave down. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The interval(s) is/are (Use a comma to separate answers as needed. Type your answer in interval notation.) OB. The function is never concave down. y = 4x + sin 8x, sxs 10