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Is the relation shown below a function? Explain.

(4, 16), (5, 25), (3, 9), (6, 36), (2,4), (1, 1)

User Nathan Stretch
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1 Answer

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7 votes

Answer: Yes.

Explanation:

Yes, the relation given to us is a function. Each x-coordinate, or input, has exactly one y-coordinate, or output. This is a function.

We can also graph all of the given points. See attached. This graph passes the vertical line test, so the given relation could be a function. The vertical line test is a vertical line held up to the graph, and this line can only be intercepted once at a time.

We see that this is function appears to be every x-value squared is the y-value.

Is the relation shown below a function? Explain. (4, 16), (5, 25), (3, 9), (6, 36), (2,4), (1, 1)-example-1
User Jia
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