What is a non-real number range and a real number range?












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I know that infinity and complex numbers are not real numbers but I'm having trouble understanding what a real number range and a non-real number range is. Is a non-real number range (-infinity, infinity)? If so, does (-infinity, 0) or (0,infinity) count as a non-real number range? How do you tell between the two?



Edit1: e.g. how do I approach the real number range for $x^3+3^x$?










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  • 2




    $begingroup$
    Could you provide some additional information? Perhaps use "real number range" in a sentence or problem?
    $endgroup$
    – Michael Burr
    Dec 13 '18 at 9:34










  • $begingroup$
    Thanks for the suggestion. I have added an example question.
    $endgroup$
    – fastworld
    Dec 13 '18 at 9:39












  • $begingroup$
    See Extended real number line.
    $endgroup$
    – Mauro ALLEGRANZA
    Dec 13 '18 at 9:40






  • 1




    $begingroup$
    Have you a concrete example where the expression "non-real number range" is used ? It sounds strange. Perhaps you've only found "real number range" and you are assuming that there is another "non-real number range"?
    $endgroup$
    – leonbloy
    Dec 13 '18 at 11:31










  • $begingroup$
    Where are you seeing this terminology? Are you translating from a language other than English?
    $endgroup$
    – Henning Makholm
    Dec 13 '18 at 11:38
















0












$begingroup$


I know that infinity and complex numbers are not real numbers but I'm having trouble understanding what a real number range and a non-real number range is. Is a non-real number range (-infinity, infinity)? If so, does (-infinity, 0) or (0,infinity) count as a non-real number range? How do you tell between the two?



Edit1: e.g. how do I approach the real number range for $x^3+3^x$?










share|cite|improve this question











$endgroup$








  • 2




    $begingroup$
    Could you provide some additional information? Perhaps use "real number range" in a sentence or problem?
    $endgroup$
    – Michael Burr
    Dec 13 '18 at 9:34










  • $begingroup$
    Thanks for the suggestion. I have added an example question.
    $endgroup$
    – fastworld
    Dec 13 '18 at 9:39












  • $begingroup$
    See Extended real number line.
    $endgroup$
    – Mauro ALLEGRANZA
    Dec 13 '18 at 9:40






  • 1




    $begingroup$
    Have you a concrete example where the expression "non-real number range" is used ? It sounds strange. Perhaps you've only found "real number range" and you are assuming that there is another "non-real number range"?
    $endgroup$
    – leonbloy
    Dec 13 '18 at 11:31










  • $begingroup$
    Where are you seeing this terminology? Are you translating from a language other than English?
    $endgroup$
    – Henning Makholm
    Dec 13 '18 at 11:38














0












0








0





$begingroup$


I know that infinity and complex numbers are not real numbers but I'm having trouble understanding what a real number range and a non-real number range is. Is a non-real number range (-infinity, infinity)? If so, does (-infinity, 0) or (0,infinity) count as a non-real number range? How do you tell between the two?



Edit1: e.g. how do I approach the real number range for $x^3+3^x$?










share|cite|improve this question











$endgroup$




I know that infinity and complex numbers are not real numbers but I'm having trouble understanding what a real number range and a non-real number range is. Is a non-real number range (-infinity, infinity)? If so, does (-infinity, 0) or (0,infinity) count as a non-real number range? How do you tell between the two?



Edit1: e.g. how do I approach the real number range for $x^3+3^x$?







algebra-precalculus






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share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 13 '18 at 11:30









leonbloy

41.3k645107




41.3k645107










asked Dec 13 '18 at 9:29









fastworldfastworld

11




11








  • 2




    $begingroup$
    Could you provide some additional information? Perhaps use "real number range" in a sentence or problem?
    $endgroup$
    – Michael Burr
    Dec 13 '18 at 9:34










  • $begingroup$
    Thanks for the suggestion. I have added an example question.
    $endgroup$
    – fastworld
    Dec 13 '18 at 9:39












  • $begingroup$
    See Extended real number line.
    $endgroup$
    – Mauro ALLEGRANZA
    Dec 13 '18 at 9:40






  • 1




    $begingroup$
    Have you a concrete example where the expression "non-real number range" is used ? It sounds strange. Perhaps you've only found "real number range" and you are assuming that there is another "non-real number range"?
    $endgroup$
    – leonbloy
    Dec 13 '18 at 11:31










  • $begingroup$
    Where are you seeing this terminology? Are you translating from a language other than English?
    $endgroup$
    – Henning Makholm
    Dec 13 '18 at 11:38














  • 2




    $begingroup$
    Could you provide some additional information? Perhaps use "real number range" in a sentence or problem?
    $endgroup$
    – Michael Burr
    Dec 13 '18 at 9:34










  • $begingroup$
    Thanks for the suggestion. I have added an example question.
    $endgroup$
    – fastworld
    Dec 13 '18 at 9:39












  • $begingroup$
    See Extended real number line.
    $endgroup$
    – Mauro ALLEGRANZA
    Dec 13 '18 at 9:40






  • 1




    $begingroup$
    Have you a concrete example where the expression "non-real number range" is used ? It sounds strange. Perhaps you've only found "real number range" and you are assuming that there is another "non-real number range"?
    $endgroup$
    – leonbloy
    Dec 13 '18 at 11:31










  • $begingroup$
    Where are you seeing this terminology? Are you translating from a language other than English?
    $endgroup$
    – Henning Makholm
    Dec 13 '18 at 11:38








2




2




$begingroup$
Could you provide some additional information? Perhaps use "real number range" in a sentence or problem?
$endgroup$
– Michael Burr
Dec 13 '18 at 9:34




$begingroup$
Could you provide some additional information? Perhaps use "real number range" in a sentence or problem?
$endgroup$
– Michael Burr
Dec 13 '18 at 9:34












$begingroup$
Thanks for the suggestion. I have added an example question.
$endgroup$
– fastworld
Dec 13 '18 at 9:39






$begingroup$
Thanks for the suggestion. I have added an example question.
$endgroup$
– fastworld
Dec 13 '18 at 9:39














$begingroup$
See Extended real number line.
$endgroup$
– Mauro ALLEGRANZA
Dec 13 '18 at 9:40




$begingroup$
See Extended real number line.
$endgroup$
– Mauro ALLEGRANZA
Dec 13 '18 at 9:40




1




1




$begingroup$
Have you a concrete example where the expression "non-real number range" is used ? It sounds strange. Perhaps you've only found "real number range" and you are assuming that there is another "non-real number range"?
$endgroup$
– leonbloy
Dec 13 '18 at 11:31




$begingroup$
Have you a concrete example where the expression "non-real number range" is used ? It sounds strange. Perhaps you've only found "real number range" and you are assuming that there is another "non-real number range"?
$endgroup$
– leonbloy
Dec 13 '18 at 11:31












$begingroup$
Where are you seeing this terminology? Are you translating from a language other than English?
$endgroup$
– Henning Makholm
Dec 13 '18 at 11:38




$begingroup$
Where are you seeing this terminology? Are you translating from a language other than English?
$endgroup$
– Henning Makholm
Dec 13 '18 at 11:38










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