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Suppose that f(x)=x²-5x³. (A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeBWork, you use I for oo, -I for-oo, and U for the union symbol. If there are no values that satisfy the required condition, then enter "0" without the quotation marks. Increasing: (C) Use interval notation to indicate where f(a) is decreasing. Decreasing: (D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter-1000. If there are more than one, enter the separated by commas. Local maxima ata= (E) Find the x-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them. separated by commas. Local minima at =

Local maxima at x = (E) Find the x-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas. Local minima at x = (F) Use interval notation to indicate where f(z) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: (H) Find all inflection points of f. If there are no inflection points, enter -1000. If there are more than one, enter them separated by commas. Inflection point(s) at z = (I) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below. Graph Complete: