To determine whether the relation is a function, let's briefly review the definitions:
- A relation is a function if each input (or domain element) has exactly one output (or range element). This means that for a given value of the input, there cannot be multiple corresponding output values.
Given the statements:
A. The relation is a function because each input has exactly one output. B. The relation is a function because each output has exactly one input. C. The relation is not a function because one input has more than one output. D. The relation is not a function because one output has more than one input.
The correct statement depends on the specifics of the relation represented in the table. However, based on the definitions:
- If any input corresponds to more than one output, the relation is not a function, making statements A and B incorrect.
- If any output corresponds to more than one input, it does not affect whether the relation is a function, which makes statement D irrelevant to the definition of a function.
Based on the above reasoning, if it is specifically stated that one input has more than one output, then C would be the correct answer. Otherwise, if every input corresponds to only one output, then A would be correct.
Please review the specific data in the relation to determine the correct choice.
1 answer