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Can an arrow or arrows be drawn from 10.3 so the relation in the diagram is a function? Explain your answer. Lesson 3-1

User Pedro Rolo
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The relation is not a function as 10.3 is not assigned any output. Drawing an arrow from 10.3 to an output won't make it a function, and removing an arrow from 9.6 to 10 and assigning 10.3 to 10 would make it a function.

No, an arrow or arrows cannot be drawn from 10.3 so the relation in the diagram is a function. Here is why:

A function is a relation that assigns exactly one output to each input.

In the diagram, the input set is {4.7, 7.2, 9.6, 10.3} and the output set is {5, 7, 10}.

The input 10.3 is not assigned to any output, so the relation is not a function.

If we draw an arrow from 10.3 to any output, then the relation will still not be a function because 9.6 is assigned to two outputs, 5 and 10.

To make the relation a function, we need to remove one of the arrows from 9.6 and assign 10.3 to the remaining output. For example, we can remove the arrow from 9.6 to 10 and draw an arrow from 10.3 to 10. Then the relation will be a function.

Complete question:

Can an arrow or arrows be drawn from 10.3 so the relation in the diagram is a function?

Can an arrow or arrows be drawn from 10.3 so the relation in the diagram is a function-example-1
User Modig
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