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The following set of points defines a function: {(3, 6), (-4, 1), (5, -5), (9, -6), (10, -2), (-2, 10)} if the answer to a question is 3, -4, 5, 9, 10, -2, what is the question?

a. what is the domain of the function?
b. what is the range of the function?
c. what is the relationship of the function?
d. what is the rate of change of the function?

1 Answer

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Final answer:

The question that matches the answer '3, -4, 5, 9, 10, -2' is most likely 'What is the domain of the function?', as those values represent all first elements in each ordered pair of the given set, which are the possible input values or independent variables of the function.

Step-by-step explanation:

The set of points given defines a function: {(3, 6), (-4, 1), (5, -5), (9, -6), (10, -2), (-2, 10)}. If the answer to a question is 3, -4, 5, 9, 10, -2, the question is most likely asking for the domain of the function. In a function, the domain consists of all the first elements in each ordered pair, which represent the possible input values or the independent variables in the function. While the range refers to the second elements in each ordered pair, representing the function's output or dependent variables, that does not correspond to the numbers given in the answer. Therefore, option (a) 'what is the domain of the function?' is the correct interpretation of the question matching the answer provided.

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