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The No

What exactly is this No? Is there any other use of it other than graphs? Thank you so much. I am not trying to cram or anything it's just that I took a course online and a lot of the time it focused on concepts rather than notation. Sometimes when notation comes up I don't understand it.(seen in precal textbook)

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    $\begingroup$ It seems to be literally the English word "no." As in, $g(8)$ doesn't exist. There is no $g(8)$. $\endgroup$ – Akiva Weinberger Aug 27 '15 at 3:25
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    $\begingroup$ This No thing is Nothing. $\endgroup$ – vadim123 Aug 27 '15 at 3:27
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It's not your fault, this is not a notation and it's not standard at all.

I think the book is trying to tell you that $g$ is not defined at 8, by telling you that there's no value $g(8)$, showing with that vertical arrow where it would have been if it was defined.

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  • $\begingroup$ Ok that makes perfect sense. Thank you. I now see that there is a mention a few pages later that 8 is outside the domain of $g$. I just didn't put those two things together. $\endgroup$ – user253055 Aug 27 '15 at 3:31
  • $\begingroup$ In all honesty, it took me a little to realize the meaning, so I understand. $\endgroup$ – Silvia Ghinassi Aug 27 '15 at 3:32
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    $\begingroup$ @AAron It's right at the top of the image actually. "$f(g(8))$ does not exists because 8 is outside..." But, yeah, it's not entirely obvious at first glance. $\endgroup$ – Graham Kemp Aug 27 '15 at 3:41
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    $\begingroup$ @GrahamKemp it is cut off, but that was in reference to another graph in the textbook For consistency though, they made the domain end before 8 so they could just keep using 8 as a reference point of sorts. Yeah sorry forgot to include that in the question.😬 $\endgroup$ – user253055 Aug 27 '15 at 4:39

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