97,012 views
30 votes
30 votes
Х

15
9
18
9
y
17
9
4
Is this relation a function?
yes
no

Х 15 9 18 9 y 17 9 4 Is this relation a function? yes no-example-1
User Riba
by
3.3k points

2 Answers

29 votes
29 votes
The relation is not a function. This is because there is a domain value that leads to two range values. X=9 leads to y=9 and y=3 or (9, 9) and (9, 3). Therefore, by definition, this relation is not a function because every range value must be assigned a unique domain value. In other words, x cannot “cheat” and can only have one y “partner.”
User Ronald Swets
by
3.1k points
10 votes
10 votes
This relation is NOT a function.
An input cannot have more than one output, and in this case, 9 has both outputs 9 and 3.
Therefore it is not a function
User Mswientek
by
2.8k points
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