Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the inflection points.f(x) = -x6 + 30x5 - 30x +3For what interval(s) of x is the graph of f concave upward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.(Type your answer in interval notation. Type an exact answer. Use a comma to separate answers as needed.)B. The graph is never concave upward.For what interval(s) of x is the graph of f concave downward? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.(Type an exact answer. Use a comma to separate answers as needed.)B. There are no inflection points.(Type your answer in interval notation. Type an exact answer. UseDetermine the x coordinates of any inflection points of the graph of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.separate answers needed.)A. x=B. The graph is never concave downward.