The table shows some input and output values of a function.

Question

Input Output
3 1
6 0
9 0
12 1

Which statement best describes why the data in the table represents a function?
Each output has more than one input.
Each input has more than one output.
Each output has exactly one input.
Each input has exactly one output.

Answer 1

The statement that best describes why the data in the table represents a function is:

Each input has exactly one output.

In a function, each input value must correspond to only one output value. In the table provided, each input (3, 6, 9, 12) has a unique output (1, 0, 0, 1 respectively), confirming that the relationship is indeed a function.