Consider the following three tables with input and output variables. Decide which table(s) represent a function.
Question
Consider the following three tables with input and output variables. Decide which table(s) represent a function.
Solution
To determine whether a set of input and output variables in tables represent a function, we need to check if each input corresponds to exactly one output. If an input value maps to more than one output value, then it does not represent a function.
Steps to Determine If the Tables Represent a Function
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Examine Each Table:
- Look at the pairs of input and output values in each table.
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Identify Unique Inputs:
- Create a list of the input values for each table.
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Check Output Consistency:
- For each unique input, check if it corresponds to one and only one output value.
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Decision:
- If every input in the table leads to one output, that table represents a function. If any input has multiple outputs, that table does not represent a function.
Summary of Findings
- Table 1: [Evaluate outputs for duplicate inputs]
- Table 2: [Evaluate outputs for duplicate inputs]
- Table 3: [Evaluate outputs for duplicate inputs]
Final Answer
- Summarize which tables represent a function based on the evaluations above.
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