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Select which mapping represents a function.

Then complete the table with the x and y values from the mapping. Remember that every x should be paired with exactly one y to meet the definition of a function.

one chart: -1, -2 -> 4, 5, 6
two chart: 1, 2, 3 -> 4, 5

1 answer

To determine which mapping represents a function, we need to check if each input (x-value) is paired with exactly one output (y-value).

  1. For the first mapping:

    • Inputs: -1, -2
    • Outputs: 4, 5, 6
    • Here, there are two inputs (-1 and -2) but there are three outputs. There’s no indication of which output corresponds to each input, so we cannot say that this is a function.

  2. For the second mapping:

    • Inputs: 1, 2, 3
    • Outputs: 4, 5
    • In this case, there are three inputs but only two outputs. It’s unclear which inputs link to which outputs. Similarly, it could also indicate multiple outputs for some inputs, leading to the same conclusion that we cannot ascertain a clear one-to-one relationship without more specific pairing information.

In terms of functions:

  • The first mapping does not define a function because you cannot tell which y corresponds to which x.
  • The second mapping does not define a function for similar reasons.

Based on the standard definition of a function (where each input must have one and only one output), neither mapping can be definitively classified as a function without additional pairing details.

Conclusion: Neither mapping represents a function based on the information provided. If you need further assistance or a different interpretation, please provide the specifics regarding how the inputs and outputs are meant to pair.