So I'm of the understanding that a function is defined as only ploting one point per input. I'm being taught implicit differentiation so am now thinking about circles, ovals and rotated quadratics. I feel the route to my answer is probably through the rotated quadratic seens as a circle is fundementaly a closed ... ("system"?).
What two functions can i graph to produce an enclosed circular shape? Edit I'm looking for two equations in terms of y
We could use $$ y = \sqrt{r^2-x^2}$$ $$ y = -\sqrt{r^2-x^2}$$
For a circle of radius $r$ centered at $O$, with the equations representing the top and bottom semi-circles respectively.