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2021 AMC Fall 10AProblem 16P16-20~4 minPrint
FunctionsNumber PropertiesTest small/specific values or special cases to find or verify the answerExploit symmetry to reduce work or pair up objects

The graph of f(x)=∣⌊x⌋∣−∣⌊1−x⌋∣f(x) = |\lfloor x \rfloor| - |\lfloor 1 - x \rfloor| is symmetric about which of the following? (Here ⌊x⌋\lfloor x \rfloor is the greatest integer not exceeding xx .)

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.