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real-valued function of a real variable

function whose domain and range are a subset of the real numbers

en-US/ɹeɪˈɑl - ˈvæljud ˈfʌŋkʃən ʌv ə ɹeɪˈɑl ˈvɛɹiəbəl/
en-GB/ɹeɪˈɑːl - ˈvæljuːd ˈfʌŋkʃn əv ə ɹeɪˈɑːl ˈvɛəɹɪəbl/

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scalar function of scalar variablereal-valued functionfunction of a real variable