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Topic: how to define and analyze function with multiple parts
Replies: 4   Last Post: Apr 20, 2013 5:56 AM

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Tomas Garza Hernandez

Posts: 264
Registered: 4/15/05
Re: how to define and analyze function with multiple
Posted: Apr 20, 2013 5:56 AM
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In[1]:= f[x_] := Piecewise[{{x^2, x < 0}, {x, x > 0}}]

In[2]:= NIntegrate[f[x], {x, -1, 1}]

Out[2]= 0.833333

> From:
> Subject: how to define and analyze function with multiple parts
> To:
> Date: Fri, 19 Apr 2013 01:17:26 -0400
> Hi, I have a function on the plane that has 2 different formulation for 2 different regions. Let x = (x1, ..., xn). I want to define it as
> U(x) = U_1(x) if x is in region 1
> = U_2(x) if x is in region 2
> Then I want to analyze such a defined function, like find its max, etc, using NMaximize, or put in some other expressions in place of x, to see behavior of U.
> Essentially, how does one define a multipart function, so that we can analyze it in the same way we may analyze a single part function or polynomial?
> Thanks.
> Prabhu

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