Draw customized (calculus) graphs like these?

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Can you please suggest some good software to draw customized graphs like these?

PS:I am studying calculus (engineering degree) and would like to take notes on my pc, including customized graphs, about all the theorems I am learning (bolzano-weierstrass, Rolle, etc...).

Hope you can help.

Thanks.

NB: I am on windows, but can use linux software as well.

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There are 4 best solutions below

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GeoGebra is easy to use, free, and the graphs look good.

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Try http://www.onlinefunctiongrapher.com/. You can customize your graphs there. Easy to use and free! unlike Mathematica or Mathlab. It is online so you don't have to worry about linux/windows shift.

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If you've got a Mac or iPad, this might help: http://www.omnigroup.com/products/omnigraphsketcher/

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