To determine who is correct regarding the range of the function, we need to analyze the function and see what outputs it can produce. The range of a function is the set of all possible output values (typically the y-values) for the given inputs (the x-values).
-
Understanding the Range: If Stephen claims the range includes -10, 0, 4, and 7, and Mary claims it includes -10, 0, 4, and 5, we need to check if -10, 0, 4, 5, and 7 can indeed be outputs of the function by considering the definition of the function or referencing its graph, if applicable.
-
Verifying Points:
- If the function provides the values Stephen mentions (-10, 0, 4, and 7) for at least one input value each, then those numbers can be deemed part of the range.
- Similarly, we check for Mary’s values (-10, 0, 4, and 5).
-
Identifying Participants' Errors:
- If the function does not produce the value 5 for any input, then Mary is incorrect.
- Conversely, if the function produces 7 and not 5, then Stephen would be correct.
-
Conclusion: The justification of who is correct hinges on analyzing the function to ascertain which specific outputs fall within the defined range.
To finalize, you need either the functional form, graphical representation, or tabulated values from the function to definitively conclude who is correct. If both Stephen and Mary provided values not covered by the function, that clarification would establish who accurately identified the potential outputs.