To determine whether Stephen or Mary is correct, we must first clarify what it means for a number to be in the range of a function. The range of a function consists of all the possible output values (y-values) that the function can produce when we input all possible values from its domain.
Since we don't have explicit information about the function itself (such as an equation or a graph), we cannot definitively determine the true range based solely on the numbers listed by Stephen and Mary. However, a few insights can be offered:
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Understanding Range: If given a specific function equation, we would evaluate it for its possible output values. For example, if we had a quadratic function, we would understand its vertex and direction (concave up or down) to find minimum or maximum values that determine its range.
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Comparing Statements:
- Stephen claims the range includes: -10, 0, 4, 7.
- Mary claims the range includes: -10, 0, 4, 5.
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Key Points: The numbers -10, 0, 4 are common to both Stephen and Mary. The points of difference are 7 (Stephen) and 5 (Mary).
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Verification Method: If we had the function, we could check if 5 and 7 are indeed achievable outputs of the function. If we were to know the properties of the function (for example, that it's a continuous function or specific types like polynomials), we could further analyze the values.
Given the lack of additional context or details about the function, we cannot definitively affirm the validity of either Stephen or Mary. Therefore, without further information, we cannot conclude who is correct regarding the range. If possible, further clarification on the function or its properties would allow a more accurate conclusion regarding range.