(a) On what interval is f increasing? (Enter your answer in interval notation.)(3,6) On what interval is f decreasing? (Enter your answer in interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.)x =At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)x =(c) On what interval is f concave upward? (Enter your answer in interval notation.) On what interval is f concave downward? (Enter your answer in interval notation.)(0,3) (d) State the x-coordinate(s) of the point(s) of inflection. (Enter your answers as a comma-separated list.)x =3