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Re: Piecewise functions

• To: mathgroup at smc.vnet.net
• Subject: [mg51576] Re: Piecewise functions
• From: Helen Read <read at math.uvm.edu>
• Date: Sat, 23 Oct 2004 00:22:12 -0400 (EDT)
• Organization: EM Computer Facility, The University of Vermont
• References: <cl9tau$7oi$1@smc.vnet.net>
• Reply-to: hpr at together.net
• Sender: owner-wri-mathgroup at wolfram.com

Luca wrote:

> Hi all. I'm studying for the exam of signals and systems and I was
> trying to plot some kind of functions I transformed for exercise. So, I
> need to plot piecewise functions like:
> 
> y(x) = x if x > 3
> y(x) = -x if -1 < x < 3
> y(x) = 1 else
> 
> (should have been a system).
> I found out in the guide the chapter about this, and I learned that it
> is possible with the function UnitStep, which I know. Anyway, I found
> it difficult to determine the equation of the function using this
> method. Is it possible to do it simply writing everything like I did
> before, more or less? i.e. without having to determine the equation
> with the UnitStep function.

y[x_] = Which[x > 3, x, -1 < x < 3, -x, x == 3 || x <= -1, 1]

--
Helen Read
University of Vermont