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What is the definition of a domain in mathematics?

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The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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What is the definition of a range in mathematics?

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The range of a function is the set of all possible output values (y-values) that the function can produce.

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How do you find the domain of a rational function?

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To find the domain of a rational function, identify values that make the denominator zero and exclude them from the set of real numbers.

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The domain is all real numbers except x = 2, or in interval notation: (-∞, 2) U (2, ∞).

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The domain is all real numbers except x = -2 and x = 2, or in interval notation: (-∞, -2) U (-2, 2) U (2, ∞).

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The range is all non-negative real numbers, or in interval notation: [0, ∞).

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The range is all real numbers except 0, or in interval notation: (-∞, 0) U (0, ∞).

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How do you determine the range of a logarithmic function?

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The range of a logarithmic function is all real numbers, as it can take any value from negative to positive infinity.

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The domain is all real numbers greater than 3, or in interval notation: (3, ∞).

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The domain is all real numbers greater than 0, or in interval notation: (0, ∞).