Determine the set of points at which the function is continuous: $f(x,y,z) = \sqrt{y-x^2} \cdot \ln z$.
I know that $y-x^2$ must be $\geq 0$ (because of the square root). I also know that $z>0$ (because of the natural log) but how would I go about finding the set of points where the entire function is continuous? Just having some trouble merging my ideas together.
Are my above thoughts correct?