Question 632082: Need an example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be four integers between -12 and +5. I need to explain why my example does not model a function.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! OOPS! I did nor read the instructions carefully.
I was not allowed to have a 7 in the range.
My initial answer (below) is not quite right because of that.
{(1,3), (1,5), (2,-7), (3,1.5)} would work.
The domain is still the set {1, 2, 3}.
The range is the set of y values, {1.5, 3, 5, -7} with all numbers between -12 and +5 (assuming that the +5 was allowed too).
If "between -12 and +5" meant that -12 and +5 were not allowed, then we could change that 5 to 4.
OLD ANSWER:
{(1,3), (1,5), (2,7), (3,1.5)}
The domain of this relationship is the set of x values.
The x values are the first numbers in each ordered pair.
In this case the domain is the set {1, 2, 3}.
The range of this relationship is the set of y values, {1.5, 3, 5, 7}.
This relationship is not a function because one of the x values (x=1) is paired with two different y values in (1,3) and (1,5).
If we graph this relationship we get
In the graph we see that there is one point directly above the other, showing that this is not a function.
Teachers often refer to this observation as the "vertical line test":
If a vertical line crosses the graph of the relationship at two (or more) points, the relationship is not a function.
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