What does the domain of a function represent?

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What does the domain of a function represent?

Explanation:
The domain is the set of input values you can plug into a function (the x-values) for which the function is defined. That’s why this describes the x-values. The y-values are the outputs the function produces, which make up the range. Slope values relate to how quickly the output changes, not to which inputs are allowed. The range is specifically the set of possible outputs (the y-values). For example, if f(x) = sqrt(x), the domain is x ≥ 0, while the range is y ≥ 0. If f(x) = 1/x, the domain excludes x = 0, and the range excludes y = 0. Here, the domain corresponds to the x-values, so the correct idea is that it describes the input values.

The domain is the set of input values you can plug into a function (the x-values) for which the function is defined. That’s why this describes the x-values. The y-values are the outputs the function produces, which make up the range. Slope values relate to how quickly the output changes, not to which inputs are allowed. The range is specifically the set of possible outputs (the y-values). For example, if f(x) = sqrt(x), the domain is x ≥ 0, while the range is y ≥ 0. If f(x) = 1/x, the domain excludes x = 0, and the range excludes y = 0. Here, the domain corresponds to the x-values, so the correct idea is that it describes the input values.

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