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http://www.wolframalpha.com/input/?i=plot+Piecewise[{{x^2+-5%2Cx%3C%3D3}%2C{x%2B2%2Cx%3E3}}]

you have to erase some peaces of x2 for x>3 and draw x+2 instead of that .

I tried to just go to your link but I am not seeing the graph at all

I guess you have to make your question is wolfram.

You're welcome.

the link is broken ... copy and paste whole link

thanks experimentX

Refer to the attached Mathematica plot. This is the first use of the Piecewise function for me.

For your information, Mathematica can take the derivative of a piecewise function.