Determine the intervals on which the following function is concave up or concave down. Identify any inflection points. f(x) =2x4 - 3x3+2 . . . Determine the intervals on which the given function is concave up or concave down. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O A. The function is concave up on O B. The function is concave up on and concave down on O C. The function is concave down on Locate any inflection points of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. An inflection point occurs at x = (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. There are no inflection points for f.Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f( x ) = x5 +6x- . . . What is(are) the critical point(s) of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) is(are) x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There are no critical points for f. What is/are the local minimum/minima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local minimum/minima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There is no local minimum of f. What is/are the local maximum/maxima of f? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/maxima of f is/are at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There is no local maximum of f