To determine whether the relation is a function, we need to consider the definitions:
- A relation is a function if each input (or independent variable) corresponds to exactly one output (or dependent variable).
- A relation is not a function if at least one input has more than one output.
Given this information, let's analyze the provided statements:
A. The relation is a function because each input has exactly one output.
- This statement is correct if every input maps to a single output.
B. The relation is a function because each output has exactly one input.
- This statement is not necessary for a relation to be a function. A function can have the same output for different inputs (i.e., multiple inputs can map to the same output).
C. The relation is not a function because one input has more than one output.
- This statement would be correct if we find that at least one input corresponds to multiple outputs.
D. The relation is not a function because one output has more than one input.
- This statement is not relevant because the condition that disqualifies a relation from being a function is about the input, not the output.
Without additional information or a visual representation of the relation (like an actual table), it’s impossible to determine definitively which of the statements is true. However, typically, your task would involve checking for the presence of the conditions described in the options to see which one accurately describes the nature of the relation.
If you can share the data corresponding to the relation, I can help you more accurately determine the correct statement.
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