SOLUTION: Is the following relation a function? (1, 2), (3, 4), (5, 5)?

Question 470900: Is the following relation a function? (1, 2), (3, 4), (5, 5)?
Found 2 solutions by nerdybill, MathLover1:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Yes, because for each value of 'x', there is a unique value of 'y'.
("vertical line test")
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Is the following relation a function? (1, 2), (3, 4), (5, 5)

recall: A is a of .
There is absolutely nothing special at all about the numbers that are in a relation. In other words, of numbers a so long as these numbers come in pairs.
The and of a relation:
The is the set of all the first numbers of the ordered pairs . In other words, the domain is all of the .

The is the set of the second numbers in each pair, or the .

In the relation above the is { 1, 3, 5 }
And the is { 2, 4, 5 }

} makes a a ?
are a kind of relation .
At first glance, a function looks just like a relation. It's a set of ordered pairs such as { (1, 2), (3, 4), (5, 5)}
Like a relation, a has a domain and range made up of the and values of ordered pairs.
In mathematics, what distinguishes a function from a relation is that value in a function has and .
Since relation (1, 2), (3, 4), (5, 5) has value for value, this relation a .

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