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Function domain word problems

H(y)H(y) models the leading number of home runs for season yy of the National League between the years 20002000-20102010, according to the table.
SeasonPlayer# of Home RunsTeam
20002000Sammy Sosa5050Chicago
20012001Barry Bonds7373San Francisco
20022002Sammy Sosa4949Chicago
20032003Jim Thome4747Philadelphia
20042004Adrian Beltre4848Los Angeles
20052005Andruw Jones5151Atlanta
20062006Ryan Howard5858Philadelphia
20072007Prince Fielder5050Milwaukee
20082008Ryan Howard4848Philadelphia
20092009Albert Pujols4747St. Louis
20102010Albert Pujols4242St. Louis
Which number type is more appropriate for the domain of HH?
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What's the appropriate domain?
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