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4409158 No.4409158 [Reply] [Original]

What is the domain/range of the z-axis called?

>> No.4409178

Anyone? I've been search for a while now and cant find anything

>> No.4409184

Depth.

That's a total guess.

>> No.4409186

Domain is the independent variables, range is the dependent variable.

>> No.4409188

>>4409186
No, but I'm talking about a 3d plane, (x,y,z)

>> No.4409197

Well whats is the domain/range of the x and y axes called? I don't get what you mean.

>> No.4409202

>>4409197
Domain and range. What is the name for the limits of z of a function on the yz-plane?

>> No.4409206

>>4409188
I'm aware you are dealing with a 3D coordinate system. The statement still applies. Domain is independent variables and range is dependent variables.

>> No.4409212

>>4409206
I'm not modeling a function, I'm describing a plane defined by 3D vectors.

>> No.4409214

>>4409202

Domain and range are not the names of the axes. Domain is what the indepandant variable can be; range is what the dependant variable can be; and traditionally x is the independent and y the dependent in a two-variable.

In the context of an equation of three variables, it all depends of what is independant and what is dependant. Normally, x and y would be independant and therefore rescrited to a certain domain and z dependent and therefore restricted to a certain range.

>> No.4409232

>>4409214
However it is equally possible to define both y and z in terms of x which would make x the domain and both y and z the range.

>> No.4409238

>>4409232
So how would you define in terms of domain and range, the limits xER | -2 <= x <= 0, y = 4, zER | -7 <= z <= 0

In this format:

Domain: {xER | xER | -2 <= x <= 0}
Range: {y = 4}

>> No.4409241

>>4409238
Woops, extra xER