# Is it possible to graph out a multivariable function (3

Kathleen Rausch 2022-01-05 Answered
Is it possible to graph out a multivariable function (3 variables at max) on a graphing calculator? If yes, how?

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## Expert Answer

hysgubwyri3
Answered 2022-01-06 Author has 4574 answers
Well, you can have maps from $$\displaystyle\mathbb{R}^{{1}}$$ to $$\displaystyle\mathbb{R}^{{2}}$$; viceversa, and from $$\displaystyle\mathbb{R}^{{1}}$$ to $$\displaystyle\mathbb{R}^{{1}}$$. The graph of a function $$\displaystyle{f{{\left({x}\right)}}}:{X}\rightarrow{Y}$$ is the set $$\displaystyle{\left\lbrace{\left({x},{y}\right)}:{y}={f{{\left({x}\right)}}}\right\rbrace}$$ for some x, which is a subset of the Cartesian product $$\displaystyle{X}\times{Y}$$ . Then you need $$\displaystyle{X}\times{Y}$$ to be of dimension 3 or lower, or you would need 4 dimensions to do the graphing.

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