Question

Which statement is true of table A and table B shown below?





Table A represents a function because there is only one output for each input value.

Table B represents a function because there is only one output for each input value.

Table A represents a function because there is only one input for each output value.

Table B represents a function because there is only one input for each output value.

Answer 1

To evaluate the statements about Table A and Table B, we need to consider the definitions of a function. A function is a relation in which each input (or x-value) is associated with exactly one output (or y-value).

- If Table A has only one output for each input value, then it represents a function.
- If Table B has only one output for each input value, then it represents a function.
- The statements about having only one input for each output are incorrect; functions can have multiple inputs mapping to the same output.

Given this understanding:

1. "Table A represents a function because there is only one output for each input value." **(True if so)**
2. "Table B represents a function because there is only one output for each input value." **(True if so)**
3. "Table A represents a function because there is only one input for each output value." **(False)**
4. "Table B represents a function because there is only one input for each output value." **(False)**

In conclusion, the true statements will depend on the specifics of Table A and Table B. If you can provide more information about these tables, I can help determine which statements are true.