What is the set of input values for which a function or relation is defined called?

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Multiple Choice

What is the set of input values for which a function or relation is defined called?

Explanation:
The set of input values for which a function or relation is defined is called the domain. It includes every x that makes the expression real and defined. For example, with f(x) = 1/(x−2), x cannot be 2, so the domain is all real numbers except 2. With f(x) = √(x−5), you need x−5 to be nonnegative, so x ≥ 5. The domain focuses on where the rule gives a valid output. The range is the set of all possible outputs y that the function can produce, the codomain is the set that could be output (as specified in the function’s rule), and the image is the actual set of outputs obtained from the domain.

The set of input values for which a function or relation is defined is called the domain. It includes every x that makes the expression real and defined. For example, with f(x) = 1/(x−2), x cannot be 2, so the domain is all real numbers except 2. With f(x) = √(x−5), you need x−5 to be nonnegative, so x ≥ 5. The domain focuses on where the rule gives a valid output. The range is the set of all possible outputs y that the function can produce, the codomain is the set that could be output (as specified in the function’s rule), and the image is the actual set of outputs obtained from the domain.

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