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Given the function defined by y = x + sin x for all x such that [-pi/2, 3pi/2] for x. (a) Find the coordinates of all maximum and minimum points on the interval. Justify your answers. (b) Find the coordinates of all points of in ection on the given interval. Justify your answers. (c) Sketch the graph of the function, labeling all the points you found in (a) and (b).
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