The Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: implicit functions and constant functions
Replies: 4   Last Post: Nov 1, 2017 3:56 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
LudovicoVan

Posts: 4,150
From: London
Registered: 2/8/08
Re: implicit functions and constant functions
Posted: Nov 1, 2017 3:56 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Wednesday, November 1, 2017 at 8:22:09 AM UTC+1, ruben safir wrote:
> On 10/30/2017 12:25 PM, Arturo Magidin wrote:
> > A function f:D->E is "constant" if for any x and y in D, f(x)=f(y).
> >
> > It doesn't matter what the domain (or codomain) are; it just means any
> > two inputs give the same output.

>
> that would mean that all x,y combinations (an entire plane) is valid
> points in a graph of such a constant function?


DxD would be "the entire plane" only if D is "the entire line": what and all
that is required is that x and y *in D*, i.e. in the domain of the function,
such that f(x) and f(y) are in fact defined (and just equal to a constant in
our case).

Julio



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2017. All Rights Reserved.