Which of the following does not represent a function?

graph of a negative parabola oriented about the y axis with y intercept at positive 6

graph of an absolute value function oriented about the y axis

graph of an ellipse with x intercepts negative 8 and positive 8

graph of a line with a positive slope and y intercept of negative 6

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:

5

step-by-step explanation: