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

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/

```

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