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Which best describes the range of a function?

A. The greatest possible output value
B. The set of all possible input values
C. The greatest possible input value
D. The set of all possible output values

1 Answer

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Final answer:

The range of a function is the set of all possible output values that the function can produce. Option (D) is correct.

Step-by-step explanation:

The correct answer is D. The set of all possible output values. The range of a function refers to the set of all possible output values that the function can produce. It represents the vertical extent of the function's graph. For example, if we have a function f(x) = 2x + 1, the range would be all the possible y-values that can be generated by plugging in different x-values.

A function represents a defined relationship between an independent variable (x) and a dependent variable (y). The range of a function refers to all the possible values y could be. The formula to find the range of a function is y = f(x).

The range of a function may refer to either of two closely related concepts: the codomain of the function, or the image of the function. In some cases the codomain and the image of a function are the same set; such a function is called surjective or onto.

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