Domain, range of functions of several variables

In this video, I showed how to find the domain and range of a multivariable function

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[@sunshinelawrence6097]

Wahoo, I now understand what a domain and range is.
Thank you very much sir.

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What a beautiful function .

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I will try this function in python😂

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و شكرا على الشرح الرائع

[@bravo2992]

sir, but three variables means three dimension right?

[@PrimeNewtons]

x = 5 is one dimension
f(x)= 5 x is 2 dimensions
f(x,y) = x² + y is 3 dimensions
f(x,y,z) = x + y+z is 4 dimension
f is also a variable. The dependent variable. Plus, they all partially depend on one another.

[@bravo2992]

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[@hassanejturay2994]

Great

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[@oraksjunior6001]

Thanks alot

[@pedrogarcia8706]

could you also write the Range of the second function as "z ∈ R"?