To determine which statement is true regarding Table A and Table B, we'd need to analyze each table's input-output pairs.
A function is defined as a relation where each input (or domain value) corresponds to exactly one output (or range value). Here’s how to evaluate the statements:
-
Statement A: "Table A represents a function because there is only one output for each input value." - This is true if Table A has unique outputs for every input.
-
Statement B: "Table B represents a function because there is only one output for each input value." - This is true if Table B has unique outputs for every input.
-
Statement C: "Table A represents a function because there is only one input for each output value." - This statement does not accurately describe a function; a function can have multiple inputs that produce the same output.
-
Statement D: "Table B represents a function because there is only one input for each output value." - This statement does not define a function correctly either. A function can have the same output for different inputs.
Thus, to accurately evaluate the statements, you must check the tables. If after checking it is clear that one of the tables has unique outputs for each input, that statement is true. If both tables comply with that function characteristic, then statements A and B could both be true.
In conclusion, without seeing the actual tables, we cannot definitively declare which statement is true. Based on the definitions alone, the statements would be correct provided the respective tables meet the definitions of a function as described in the statements.