Drawing the $x$-axis as the line $y=0$ and drawing the $y$-axis as the line $x=0$: convention or rule?

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Suppose we're given $f(x) = 120 +20 \sin(2\pi x)$. The question is to draw a diagram of this function for $x\in [0,1]$ (give or take). Would you consider the diagram below to be correct? (I.e. with the $x$-axis at $y=120$.)

The question is of course: Is it a convention or a rule that the $x$-axis is the line $y=0$ and that the $y$-axis is the line $x=0$?

The graph of the function where the $x$-axis is drawn as $y=120$.

(Please imagine that I labled the axes $x$ and $y$.)


Personally, I would say that the diagram is fine. There's no ambiguity and no mathematical erros (as far as I can tell).

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Your diagram is fine !

$x$- axis: $\{(x,y) \in \mathbb R^2: y=0\}$,

$y$- axis: $\{(x,y) \in \mathbb R^2: x=0\}$.