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I was graphing random functions on geogebra and bumped into something I can't explain. I input \((\sin (x))^x\) and saw this:

Imgur

Imgur

Imgur

Imgur

Look at \(x= 4, 5, 6\) etc. It seems as if the graph equation's not defined there. And I can't figure out why. Am I missing something obvious? I'd be really glad if someone explained what's happening here.

Thanks in advance!

Edit: I figured it out. Silly me!

Note by Mursalin Habib
3 years, 9 months ago

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Note that between about \(\displaystyle 3.2\) and \(\displaystyle 6.2\), the value of \(\displaystyle\sin(x)\) is negative... So, it is pretty obvious what is going on here.

A negative number to a positive fractional power is not defined, so it clear that the grapher would get mad as hell!!! lol.

EDIT: It is defined at integral powers though...But, since it is just a single point, it is not visible, I guess.

Anish Puthuraya - 3 years, 9 months ago

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yup...

Tootie Frootie - 3 years, 9 months ago

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Never mind. I figured it out. Why am I so stupid? Argh!

Mursalin Habib - 3 years, 9 months ago

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