The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table, and
why?
0
3
X
y
3
7
6 9 12
T 11 1519
(18, 27), because the rate of change of the function is 7
(18, 27), because the rate of change of the function is 3
(27, 18), because the rate of change of the function is 4
(27, 18), because the rate of change of the function is 3

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: