To determine which of the provided equations describes the function shown in the mapping diagram, we would need to analyze the specific relationships between inputs (x or y values) and outputs (f(x) or f(y) values) based on the mapping.
However, since I don't have access to the mapping diagram you're referring to, I can guide you on how to analyze it:
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Identify Input-Output Pairs: Look at the specific pairs of (input, output) values in the mapping diagram.
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Determine the Nature of the Transformation: Check if the function appears to be linear (which it likely is, given the options) and identify whether it’s an increase or decrease in value as the input changes.
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Substitute Values: If possible, substitute known values from the mapping into the possible equations to see if they hold true.
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Check the Function Type: Ensure you are consistent with whether you're solving for f(x) or f(y) based on how the function is presented.
If you can share more details about the specific inputs and outputs from the mapping diagram, I could help pinpoint which of the equations matches the mapping function.