How do you find the domain and range of a function?

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The domain is all possible x-values (inputs) and the range is all possible y-values (outputs). Common restrictions: denominators ≠ 0, square roots need non-negative radicands, logarithms need positive arguments. Example: f(x) = √(x-3) → Domain: x ≥ 3 (or [3,∞)), Range: y ≥ 0 (or [0,∞)). For f(x) = 1/(x-2), Domain: all reals except x=2, Range: all reals except y=0.

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The domain is all possible x-values (inputs) and the range is all possible y-values (outputs).

How do you find the domain and range of a function?
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ScanSolve AI Answer
The domain is all possible x-values (inputs) and the range is all possible y-values (outputs). Common restrictions: denominators ≠ 0, square roots need non-negative radicands, logarithms need positive arguments. Example: f(x) = √(x-3) → Domain: x ≥ 3 (or [3,∞)), Range: y ≥ 0 (or [0,∞)). For f(x) = 1/(x-2), Domain: all reals except x=2, Range: all reals except y=0.