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Is the following relation a function? {(3, −5), (1, 2), (−1, −4), (−2, 2)}

User Joe
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2 Answers

5 votes

Answer:

Function.

Explanation:

A relation is a function every x that in your domain only gets assigned to exactly one number in your range.

Basically if you have a set of points and you see that the same x is being used more than once, then it isn't a function (unless for some reason they repeated the same point).

So the x's I see in the order that your points are is 3,1,-1,-2. All of these x's are different so it is a function.

User Krjw
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8.2k points
4 votes

Answer: Yes, it is a function.

Explanation:

  • A relation is said to be a function, if each input value corresponds an unique output value.

Usually we denote the input value as 'x' and the output value as 'y'.

The given relation: {(3, −5), (1, 2), (−1, −4), (−2, 2)}

Here , each input value corresponds an unique output value.

Therefore , the given relation is a function.

User Ferry Kranenburg
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