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

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 LudovicoVan Posts: 4,165 From: London Registered: 2/8/08
Re: implicit functions and constant functions
Posted: Nov 1, 2017 3:56 AM

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

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