Why?

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

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!

#Graphs #TrigonometricFunctions #HelpMe! #Math #Confused

Easy Math Editor

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Comments

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 - 7 years, 3 months ago

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

Mursalin Habib - 7 years, 3 months ago

yup...

Tootie Frootie - 7 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$