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Is the rule f(x) = sqrt(x) (the principal, non-negative square root) a function?

1. It is a function.
2. It is not a function.
3. It is both a function and a relation.
4. It is neither a function nor a relation.

Correct answer: It is a function.

Solution

By convention sqrt(x) means the principal (non-negative) square root, which produces a single value for each x >= 0. Since every input maps to exactly one output, the rule is a function.

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