Lett be the number of years after 2010. The graph to the right shows f(t), the percentage of Billboard Hot-100 songs by Latin artists that were in Spanish¹ in year t. (a) Where does f(t) have a local maximum? a local minimum? Explain the significance of these points in the context of this problem. (b) Where does f(t) have an absolute maximum? an absolute mini- mum? Explain the significance of these points in the context of this problem. f(t) 80 + 60 40 20 1 2 3 4 5 6 7 8 9 10

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