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If f is defined on A = {−1, 0, 1} by f(x) = x², what is the range of f?

Answer and explanation

Correct answer: {0, 1}

Evaluating the function at each element gives f(−1) = (−1)² = 1, f(0) = 0² = 0, and f(1) = 1² = 1. Thus, the set of distinct output values is {0, 1}, which is the range. Option B is the original set A, the domain, not the range. Exam tip: list each output value only once when forming the range.

Related tags

Finite-DomainRangeSquare-FunctionDomain-And-RangeReal Valued FunctionsTheir Domain And RangeReal Valued Functions Their Domain And RangeRelations And FunctionsMathematics

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