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Providence virus: An animal virus that replicates in plants or a plant virus that infects and replicates in animal cells? PLoS One. 2019 Jun 4;14 (6):e0217494. doi: 10.1371/journal.pone.0217494.

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Question: A nanotechnologist models electron mobility in a quantum dot using a function $ f $ satisfying $ f(x + y) + f(x - y) = 2f(x) + 2f(y) $ for all real $ x, y $. If $ f(1) = 3 $, find $ f(5) $.
Solution: The given functional equation is:
Solution: We complete the square to rewrite the equation in standard form.

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