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3. (9 points) Suppose that f(x) = x/3 (x+ 3)2/3(A) Find all critical values of f. If there are no critical values, enter None .
3. (9 points) Suppose that f(x) = x/3 (x+ 3)2/3(A) Find all critical values of f. If there are no critical values, enter None . If there are more than one. enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where x) is increasing. Note: When using interval notation in WeBWorK. you use I for no, -I for oo. and U for the union symbol. If there are no values that satisfy the required condition, then enter "" without the quotation marks. Increasing: (C) Use interval notation to indicate where f (x) is decreasing. Decreasing: (D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter None . If there are more than one. enter them separated by commas. Local maxima at x = _ (E) Find the x-coordinates of all local minima of f. If there are no local minima. enter None . If there are more than one. enter them separated by commas. Local minima atx = _ (F) Use interval notation to indicate where x) is concave up. Concave up: (G) Use interval notation to indicate where x) is concave down. Concave down: (H) Find all inection points of f. If there are no inection points, enter None . If there are more than one, enter them sep- arated by commas. Inection point(s) at x = (I) Use all of the preceding information to sketch a graph of f . When you're nished, enter a 1 in the box below. Graph Complete: _
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