# SOLUTION: Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function. {(3, 4), (5, 9), (9, 9), (2, 3)} {(0, 0), (0, 1), (1, 4),

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function. {(3, 4), (5, 9), (9, 9), (2, 3)} {(0, 0), (0, 1), (1, 4),       Log On

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rational-functions Question 225039: Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function. {(3, 4), (5, 9), (9, 9), (2, 3)} {(0, 0), (0, 1), (1, 4), (2, 4)} {(2, 1), (4, 5), (8, 4), (1, 0)} {(8, 3), (8, 0), (7, 7), (4, 7)} Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function. {(3, 4), (5, 9), (9, 9), (2, 3)} {(0, 0), (0, 1), (1, 4), (2, 4)} {(2, 1), (4, 5), (8, 4), (1, 0)} {(8, 3), (8, 0), (7, 7), (4, 7)} ``` Rule: A function is a relation in which NO two ordered pairs have the same first coordinate. (It can, however, have two ordered pairs with the same second coordinate.) {(3, 4), (5, 9), (9, 9), (2, 3)} IS A FUNCTION because none of the four ordered pairs have the same first coordinate. (It is OK that the middle two ordered pairs have the same second coordinate). {(0, 0), (0, 1), (1, 4), (2, 4)} IS NOT A FUNCTION because the first two ordered pairs have the same first coordinate, namely 0. {(2, 1), (4, 5), (8, 4), (1, 0)} IS A FUNCTION because none of the four ordered pairs have the same first coordinates. {(8, 3), (8, 0), (7, 7), (4, 7)} IS NOT A FUNCTION because the first two ordered pairs have the same first coordinate, namely 8. Edwin```