5. Graph the relation and determine if it is a function. Explain why it is or isn’t.
{(4, -2), (4, -4), (1, 2), (1, 5), (1, -4)}
To graph the relation, we plot the given points on a coordinate plane.
The points are: (4, -2), (4, -4), (1, 2), (1, 5), (1, -4)
-4
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______ (4,-4) (1,5) (4,-2)
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|_______________(1,-4)
From the graph, we can see that there are multiple points with the same x-value but different y-values. Specifically, we have (4, -2) and (4, -4), and we have (1, 2), (1, 5), and (1, -4).
A relation is a function if each x-value is paired with only one y-value.
In this case, the relation is not a function because the x-values 4 and 1 are both paired with multiple different y-values.
Therefore, the relation {(4, -2), (4, -4), (1, 2), (1, 5), (1, -4)} is not a function.