Question 970873: which of the following relations is not a function ?
a. {(5, 11), (6, 2), (3, 2), (4, 7), (1, 3)}
b. {(1, 11), (6, 2), (3, 4), (5, 7), (8, 12)}
c. {(1, 11), (6, 2), (3, 4), (9, 7), (8, 12)}
d. {(1, 5), (6, 2), (3, 4), (5, 7), (6, 12)}
Answer by MathLover1(20849)   (Show Source):
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recall:
A function is a set of ordered pairs in which each x-element has   y-element associated with it.
Vertical line test: each vertical line drawn through the graph will intersect a function in  location
a. {(5, 11), (6, 2), (3, 2), (4, 7), (1, 3)}
In the relation above the domain is {1,3,4, 5, 6 }
And the range is { 2, 3, 7,11 }
=> has (6, 2), (3, 2) where 2 different x-element have same y-element; but that is ok if relation  a function
b. {(1, 11), (6, 2), (3, 4), (5, 7), (8, 12)}
relation a function
c. {(1, 11), (6, 2), (3, 4), (9, 7), (8, 12)}
relation a function
d. {(1, 5), (6, 2), (3, 4), (5, 7), (6, 12)}
=> relation  a function because (6, 2)and (6, 12) have same x-element
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