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

*To*: mathgroup at smc.vnet.net*Subject*: [mg66439] RE: [mg66394] why doesn't the range on this interval match the plot range?*From*: "David Park" <djmp at earthlink.net>*Date*: Fri, 12 May 2006 02:03:41 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Chris, Because Interval is not a find maximum and find minimum function. In this case it finds the Interval for each term of the polynomial and then adds them. 160 &[Interval[{BeginPoint, EndPoint}]] 160 53# &[Interval[{BeginPoint, EndPoint}]] Interval[{-424, -265}] 4#^2 &[Interval[{BeginPoint, EndPoint}]] Interval[{100, 256}] 160 + Interval[{-424, -265}] + Interval[{100, 256}] Interval[{-164, 151}] Is that useful? It might be if you wanted to know the range that the terms in the calculation spanned. David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ From: Chris Chiasson [mailto:chris at chiasson.name] To: mathgroup at smc.vnet.net Parabola[x_]=4x^2+53x+160 BeginPoint=-8; EndPoint=-5; Plot[Parabola[x],{x,BeginPoint,EndPoint}] Parabola[Interval[{BeginPoint,EndPoint}]] -- http://chris.chiasson.name/