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Which relation is a function?

A. {(2, 3), (1, 5), (2, 7)}
B. {(-1,5), (-2, 6), (-3, 7)}
OC. {(11, 9), (11, 5), (9,3)}
D. {(3, 8), (0, 3), (3,-2)}

2 Answers

5 votes

Answer:

b

Explanation:

took test

User JayReardon
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7 votes

Answer:

B is a function.

Explanation:

A relation that is a set of points is a function if all the x's are different. Each ordered pair in the set (excluding the duplicates if any) all have to have a distinct x.

For example if someone ask you if this is a function they are trying to trick you:

{(4,5),(1,3),(4,5)}.

They are trying to trick you because they listed the element (4,5) twice.

The set is really {(4,5),(1,3)}.

This would be a function because all the x's are distinct, ex 4 is different than 1.

Let's look at your choices:

A This is not a function because you have two pairs with the same x-coordinate.

B This is a function. There are no repeats of any x,

C This is not a function because you have 11 as x twice.

D This is not a function because x=3 happens twice.

If the same x happens more than once than it isn't a function.

User BrOSs
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5.0k points