guess at question:
a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?
the domain of f(x) cannot include the x coordinate of any such vertical line.
informally, f(x) is not a function, and
g(x,y)=0 cannot be solved for y uniquely.
the relation r = {(x,y) such that g(x,y) = 0} is a function if
for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.
step-by-step explanation: