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

*To*: mathgroup at smc.vnet.net*Subject*: [mg66433] Re: [mg66394] why doesn't the range on this interval match the plot range?*From*: "Chris Chiasson" <chris at chiasson.name>*Date*: Fri, 12 May 2006 02:03:23 -0400 (EDT)*References*: <27969385.1147343048290.JavaMail.root@eastrmwml01.mgt.cox.net>*Sender*: owner-wri-mathgroup at wolfram.com

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/