If the Domain of a function of real variables $\mathbb{R}$ is a line, why is the graph of a function represented in a plane?

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If the Domain of a function of real variables $\mathbb R$ is a line, why is the graph of a function of real variables representable in an $\mathbb R^2$ plane?

Is it due to the fact that the function has two sets, one of departure (the domain, the abscissae) and one of arrival (the codomain/range the ordinates) and these two "axes" are a Cartesian product $\mathbb R \times \mathbb R$ effectively making the function representable on a Cartesian plane?