plot Piecewise[{{cos(x*pi/2)+3,0<=x<2},{cos(x*pi/2)+3,2<x<=3},{1/(x-5)+5,3<x<=5}}]

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.