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use a mapping diagram to determine whether the relation is a function (4,3),(1,5),(1,9),(8,7),(2,12),(4,2)which of the following mapping diagram represents the relation?

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Problem

Use a mapping diagram to determine whether the relation is a function

(4,3),(1,5),(1,9),(8,7),(2,12),(4,2)

Solution

For this problem we just need to see if for each value of x we have only and just only one value of y.

And if we check we see that we have two points

(1,5),(1,9)

We can see that the same value x=1 have two corresponding values of y=5 and y=9. So for this case we can conclude that this relationship is not a function

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