×

# 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.

Edit: I figured it out. Silly me!

Note by Mursalin Habib
2 years, 7 months ago

Sort by:

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. · 2 years, 7 months ago

yup... · 2 years, 7 months ago