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Which set is a function?

A {(0,3), (3,0), (0,4), (4,0)}{(0,3), (3,0), (0,4), (4,0)}
B {(6,2), (2,0), (4,6), (6,4)}{(6,2), (2,0), (4,6), (6,4)}
C {(0,2), (2,0), (4,6), (6,4)}{(0,2), (2,0), (4,6), (6,4)}
D {(0,4), (0,9), (12,6), (-3,9)}{(0,4), (0,9), (12,6), (-3,9)}
E {(2,6), (3,6), (4,6), (2,0)}

User Hylle
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1 Answer

2 votes

Answer:

C {(0,2), (2,0), (4,6), (6,4)}, {(0,2), (2,0), (4,6), (6,4)}

Explanation:

Hey, there!

So, a function is generally speaking referring to an input, and an output. With a function, an input can have many outputs, but an output can only trace back to a specific singular (one) input.

A {(0,3), (3,0), (0,4), (4,0)}, {(0,3), (3,0), (0,4), (4,0)}

Here, you have two of the same inputs (0), that share multiple outputs. In a function, you can only have ONE of same inputs. That means, you cannot have shared x-values in any function.

B {(6,2), (2,0), (4,6), (6,4)}, {(6,2), (2,0), (4,6), (6,4)}

Here, you have two of the same inputs (6), that share multiple outputs. In a function, you can only have ONE of same inputs. That means, you cannot have shared x-values in any function.

C {(0,2), (2,0), (4,6), (6,4)}, {(0,2), (2,0), (4,6), (6,4)}

Here, there are no shared x-values within the two functions. Therefore, this IS A FUNCTION! (0, 2, 4, 6) are not the same value for x, therefore it is a function.

D {(0,4), (0,9), (12,6), (-3,9)}, {(0,4), (0,9), (12,6), (-3,9)}

Here, you have two of the same inputs (0), that share multiple outputs. In a function, you can only have ONE of same inputs. That means, you cannot have shared x-values in any function.

E {(2,6), (3,6), (4,6), (2,0)}

Here, you have two of the same inputs (2), that share multiple outputs. In a function, you can only have ONE of same inputs. That means, you cannot have shared x-values in any function.

User Artur
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