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Re: why doesn't the range on this interval match the plot range?


Thank you most kindly Bob Hanlon. I was wondering what was going on.

On 5/11/06, Bob Hanlon <hanlonr at cox.net> wrote:
> 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/
> >
>
>


-- 
http://chris.chiasson.name/


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