I am currently reading the book Analysis 1 from Terence Tao. The way he defines a function says that it should pass the vertical line test. Sometimes ago I came across an elliptic curve and saw that it doesn't pass the vertical line test. Is the elliptic curve a function ?
Is an elliptic curve a function
algebra-precalculusfunctions
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Best Answer
It's not the graph of a function, there is no $f:\mathbb{R} \mapsto \mathbb{R}$ such that an elliptic curve is described by the set $\{(x, f(x)): x \in \mathbb{R}\}$, but if you can parametrize it with some $\gamma: [0, 1] \mapsto \mathbb{R}^2$ you can see it as the image of a function.