College

Which of the following tables represents a function?

A)
x: 1, −1, 4, −4
y: 8, 8, 10, 10

B)
x: 2, 2, 3, 3
y: 6, −6, 7, 7

C)
x: 5, −5, 5, −5
y: 10, 11, 12, 13

D)
x: 2, 2, 7, 7
y: 2, 3, 4, 5

Answer :

The only table that represents a function is table A

For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.

  • This means that there must not be two similar values as the domain in the table, if there is, such table does not represent a function.

  • We can see that tables B, C, and D do not represent a function since they all have repeating values in their x-values.

Hence the only table that represents a function is table A

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