Algebraically Determining Domain of Functions

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What is 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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How do you determine the domain of a square root function?

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For a square root function, the expression inside the square root must be greater than or equal to zero. Set the inside expression ≥ 0 and solve for x.

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How do you find the domain of a rational function?

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For a rational function, set the denominator not equal to zero and solve for x. The domain is all real numbers except the values that make the denominator zero.

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What is the significance of the domain in a function?

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The domain determines the valid input values for the function, which affects the function's graph and behavior.

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How do you express the domain using interval notation?

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