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GraphSketch

http://graphsketch.com/

An online graphing tool that is image-based rather than using Java or Flash. I'm thinking it would make it a useful tool for BYOD devices, since it's web-based but can do most functions that would be needed. It doesn't like fractional exponents though, but you can use an "nth root" function instead to get the same result.

It's not as powerful as FX Graph or Geogebra, but it's free and web-based. Geogebra has a web app that does work on mobiles, but it's a little hard to use on a mobile platform. GraphSketch works as well on mobile as it does on a desktop.

GraphSketch is great for a quick, free, useful tool that allows students to quickly create & save image files with a graph from any web-capable device. You wouldn't bother trying to use it for anything more than that!