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Given that it cannot be described by a function, how can a looping curve (or any...

Given that it cannot be described by a function, how can a looping curve (or any curve that fails the vertical line test) be described mathematically?

Simple legible and 2 sentences please.

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Answer #1

We can always describe such a curve parametrically such that where is a parameter

For example, the looping curve that is a circle fails the vertical line test can be represented parametrically as

for

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