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# Is the statement true or false? "The domain and the range of the reciprocal function are the set of all real numbers." # Is the statement true or false? "The domain and the range of the reciprocal function are the set of all real numbers."

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Analyzing functions asked 2021-01-08
Is the statement true or false? "The domain and the range of the reciprocal function are the set of all real numbers."

## Answers (1) 2021-01-09

False. The domain and range of the reciprocal function are all real numbers except the number 0 since $$\displaystyle{f{{\left({0}\right)}}}=\frac{{1}}{{0}}$$ is undefined. If x can’t be 0, y can’t be 0 either. ### Relevant Questions asked 2021-01-31
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