<p>Hey guys-</p>
<p>What law/(who) said that any continuous curve can be represented by a function?</p>
<p>… Can they?</p>
<p>Isn’t a C shaped graph still a continuous curve? Or like, a spiral?</p>
<p><em>raises hand and guesses</em> Scott continuity?</p>
<p>those thingys that look like umbrellas…parabolas…i think tht’s it. I think tht those r the ones that r continuous.</p>
<p>and hey r represented by functions…right?</p>
<p>Right, parabolas can definitely be represented by functions. But I must be misunderstanding the term “continuous curve,” because according to the definition in my head, there wouldn’t be a law saying any one could be represented by a function because it would be wrong. An S shaped curve or a spiral cannot be represented by a function, so I must not be understanding something about the question.</p>
<p>i think continuous mean that they never end, they go on 4ever,</p>
<p>Ok, well, something like y^2 = x goes on forever and is a curve and cannot be represented by a function.</p>
<p>to the poster above…</p>
<p>f(y) = y^2 ?..</p>
<p>-_-'</p>
<p>f(y) = y^2 is a different graph from y^2 = x…</p>
<p>I don’t understand what you’re saying…</p>
<p>The question itself is wierd, does it even matter if the curve is continuous or not?</p>
<p>y^2 = x isn’t written as a function</p>
<p>it would be f(x)=+radx f(x)=-radx</p>
<p>and those two are functions.</p>
<p>what is rad???</p>
<p>"y^2 = x isn’t written as a function</p>
<p>it would be f(x)=+radx f(x)=-radx</p>
<p>and those two are functions."</p>
<p>Right, that’s my point. y^2 = x is a continuous curve that CANNOT be represented by “a function,” so I’m questioning the request itself by the OP. I don’t think such a law exists.</p>