In each of these cases, determine where the given function is increasing and decreasing and where its graph is concave upward and concave downward. Sketch the graph, showing as many key features as possible (high and low points, points of inflection, asymptotes, intercepts, cusps, vertical tangents).

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a. y = x²e-x In Vx 1² 2 ln(√x - x)² 4 1 + e b. y = c. y = d. y = -X