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












0














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




















  • 2




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










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












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






  • 1




    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"?
    – leonbloy
    Dec 13 '18 at 11:31










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
















0














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




















  • 2




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










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












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






  • 1




    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"?
    – leonbloy
    Dec 13 '18 at 11:31










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














0












0








0







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















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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 13 '18 at 11:30









leonbloy

40.3k645107




40.3k645107










asked Dec 13 '18 at 9:29









fastworldfastworld

11




11








  • 2




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










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












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






  • 1




    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"?
    – leonbloy
    Dec 13 '18 at 11:31










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














  • 2




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










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












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






  • 1




    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"?
    – leonbloy
    Dec 13 '18 at 11:31










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








2




2




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




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












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






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














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




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




1




1




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"?
– leonbloy
Dec 13 '18 at 11:31




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"?
– leonbloy
Dec 13 '18 at 11:31












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




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










0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3037801%2fwhat-is-a-non-real-number-range-and-a-real-number-range%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3037801%2fwhat-is-a-non-real-number-range-and-a-real-number-range%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Bressuire

Cabo Verde

Gyllenstierna