To determine which statements about Table A and Table B are true regarding their representation as functions, we need to refer to the definition of a function. A relation is classified as a function if each input (or x-value) corresponds to exactly one output (or y-value).
Based on the statements given:
- 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.
To confirm which statements are true, you'd typically check the contents of the tables:
- If Table A has unique x-values (inputs) with corresponding y-values (outputs), then statement 1 is true.
- If Table B follows the same rule, then statement 2 is true.
For statements 3 and 4, these statements are generally not true regarding the definition of a function. Functions can have multiple inputs for a single output, but they cannot have multiple outputs for the same input. Hence, these statements about there being only one input for each output are not relevant to the definition of a function.
If you provide the actual data in Table A and Table B, I could give a more definitive answer on which specific statements about the tables are true.
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