To determine who is correct about the range of the function, we need to analyze the range more closely.
The range of a function is the set of all possible output values (or y-values) that the function can produce when the input (or x-values) is substituted into it.
- Stephen's Claim: -10, 0, 4, and 7 are in the range.
- Mary's Claim: -10, 0, 4, and 5 are in the range.
To decide who is correct, we need to examine each number in both claims:
- Both Stephen and Mary claim that -10, 0, and 4 are in the range, so we need to only analyze the remaining numbers, which are 7 (from Stephen) and 5 (from Mary).
Without a specific function given to us, we can't definitively validate the claims based on output values. However, we could make certain reasonable interpretations based on properties of typical continuous functions:
- If the minimum value of the function is greater than -10, then neither Stephen nor Mary would be correct since they claim -10 is in the range.
- If the function can take on values up to or exceeding 7, Stephen’s claim would include this range.
- Conversely, proper evaluations would be necessary to check if value 5 can actually occur in the function's output.
In typical algebraic examples, functions behave continuously within specified domains unless otherwise stated with bounds or restrictions. Thus:
- If the function has outputs that allow for values in the vicinity of both numbers mentioned and minimum values that could allow reaching 0 and 4, that opens up the perspective of each side's argument showing potential validity concerning common areas in their claims.
Conclusion: To unequivocally identify who is correct, we would need more specific information about the function in question. Thus, with the given data, we cannot definitively say whether Stephen or Mary is correct without additional context about the specific function being referenced.
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