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5 votes
Is the following relation a function {(-6,-3),(-6,-1),(-6,5),(-6,8)

User Adrian Enriquez
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1 Answer

20 votes
20 votes

Answer:

Explanation:

This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)

In this relation, -6 is paired up with four different y-values (four different partners!)

If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.

To be a function, every x can only have one y partner.

User Sunjay Varma
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