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Is the relation shown in the arrow diagram a function? Explain.


Is the relation shown in the arrow diagram a function? Explain. ​-example-1

1 Answer

4 votes

Answer:

We conclude that:

Yes; Each input has only one output.

Explanation:

From the given arrow diagram, we can easily determine the table

x y

2 24

4 8

6 16

8 32

10 32

From the table, it is clear that each input has only one output, in other words, each possible x value is leading to exactly one y value.

Meaning there is no repetition of any domain (x) value.

Therefore, we conclude that:

Yes; Each input has only one output.

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