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Re: How to find the Max of a Piecewise function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg90440] Re: How to find the Max of a Piecewise function
  • From: Bill Rowe <readnews at sbcglobal.net>
  • Date: Wed, 9 Jul 2008 04:55:35 -0400 (EDT)

On 7/8/08 at 7:48 AM, aaronfude at gmail.com (Aaron Fude) wrote:

>If f is deined according to

>f[x_] := Piecewise[{{1, x < 1}, {2, x > 1}}]

>then

>Max[f[Range[0, 1, .001]]]

>does not yield the desired result. What's the proper way to approach
>this?

To find maxima of functions use Maximize or NMaximize

For example,

Maximize[{f[x], 0 < x < 1}, x]

gives:

{1,{x->1/2}}

The first value is the function maximum and the second is the
value of x where that maximum occurs. In your particular
example, the point at which the maximum occurs is not well
defined since you have defined the function to have a constant
value for 0 < x < 1


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