Re: why doesn't the range on this interval match the plot range?
- To: mathgroup at smc.vnet.net
- Subject: [mg66432] Re: [mg66394] why doesn't the range on this interval match the plot range?
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Fri, 12 May 2006 02:03:19 -0400 (EDT)
- Reply-to: hanlonr at cox.net
- Sender: owner-wri-mathgroup at wolfram.com
Parabola[x_]=4x^2+53x+160;
BeginPoint=-8;
EndPoint=-5;
Plot[Parabola[x],{x,BeginPoint,EndPoint}];
Carry out the interval operations step-by-step to see why it should not be the range.
xi=Interval[{BeginPoint,EndPoint}];
4xi^2
Interval[{100,256}]
53xi
Interval[{-424,-265}]
%+%%+160
Interval[{-164,151}]
The range is
Off[Maximize::wksol];
#[{Parabola[x],BeginPoint<x<EndPoint},
x][[1]]&/@{Minimize,Maximize}
{-(249/16), -5}
Bob Hanlon
---- Chris Chiasson <chris at chiasson.name> wrote:
> Parabola[x_]=4x^2+53x+160
> BeginPoint=-8;
> EndPoint=-5;
> Plot[Parabola[x],{x,BeginPoint,EndPoint}]
> Parabola[Interval[{BeginPoint,EndPoint}]]
>
> --
> http://chris.chiasson.name/
>