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How can I plot x from 0 to 1, and x^2, from 1 to 2?

Plot[{x, x^2}, {x, 0, 2}]

Thus, in a way, I want to combine the two functions into one plot.

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    $\begingroup$ Show[Plot[x^2, {x, 1, 3}], Plot[x, {x, 0, 1}], PlotRange -> All] $\endgroup$ Commented Apr 26, 2015 at 11:19
  • $\begingroup$ Piecewise or similar functions. $\endgroup$ Commented Apr 26, 2015 at 11:21
  • $\begingroup$ @Karsten7. Indeed, it's a bit hard to say if this question is about piecewise plotting, or multiple plots. $\endgroup$ Commented Apr 26, 2015 at 11:23

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Combine Plots with Show, and remember to use PlotRange -> All:

Show[ Plot[x, {x, 0, 1}, PlotStyle -> Blue], Plot[x^2, {x, 1, 2}, PlotStyle -> Red], PlotRange -> All]

enter image description here

Another option, as Karsten7. stated, is to use piecewise functions with non-numeric default value outside their domain:

Plot[ {Piecewise[{{x, x < 1}}, Null], Piecewise[{{x^2, x >= 1}}, Null]}, {x, 0, 2}]

enter image description here

Then again, if you are really interested of not having separate plots, you probably want a direct Piecewise expression like:

Plot[ Piecewise[ {{x, x < 1}, {x^2, x >= 1}}], {x, 0, 2}]

enter image description here

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