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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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