SOLUTION: 3. Which of the following relations is a function? A. {(5, 2), (3, 2), (4, 2), (5, 1)} B. {(1, 2), (1, 3), (2, 1), (3, 4)} C. {(1, 3), (2, 6), (3, 8), (1, 7)} D. {(1, 4)

Algebra ->  Functions -> SOLUTION: 3. Which of the following relations is a function? A. {(5, 2), (3, 2), (4, 2), (5, 1)} B. {(1, 2), (1, 3), (2, 1), (3, 4)} C. {(1, 3), (2, 6), (3, 8), (1, 7)} D. {(1, 4)      Log On


   



Question 787139: 3.
Which of the following relations is a function?
A. {(5, 2), (3, 2), (4, 2), (5, 1)}
B. {(1, 2), (1, 3), (2, 1), (3, 4)}
C. {(1, 3), (2, 6), (3, 8), (1, 7)}
D. {(1, 4), (8, 9), (10, 11), (12, 12)}
PLEASE HELP !!

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A function cannot contain two ordered pairs with the same first coordinate.

A. {(5, 2), (3, 2), (4, 2), (5, 1)}
This is not a function because (5,2) and (5,1) are 
two ordered pairs with the same first coordinate 5.

B. {(1, 2), (1, 3), (2, 1), (3, 4)}
This is not a function because (1,2) and (1,3) are 
two ordered pairs with the same first coordinate 1.

C. {(1, 3), (2, 6), (3, 8), (1, 7)}
This is not a function because (1,3) and (1,7) are 
two ordered pairs with the same first coordinate 1.

D. {(1, 4), (8, 9), (10, 11), (12, 12)}
This is a function because all the ordered pairs 
have different first coordinates.

Edwin