Domain Algebraically

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What is the definition of the domain of a function?

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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 range of a function?

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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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What is the domain of a polynomial function?

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What is the domain of a rational function?

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The domain of a rational function is all real numbers except where the denominator is zero.

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What is the domain of a square root function?

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The domain of a square root function is the set of all x-values for which the expression inside the square root is non-negative.

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How do you find the domain of a function algebraically?

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To find the domain, identify values that make the function undefined (like division by zero or negative square roots) and exclude them from the set of real numbers.