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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.

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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

  1. Examine Each Table:

    • Look at the pairs of input and output values in each table.
  2. Identify Unique Inputs:

    • Create a list of the input values for each table.
  3. Check Output Consistency:

    • For each unique input, check if it corresponds to one and only one output value.
  4. 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.

This problem has been solved

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