Determine whether the following relation represents a function. If the relation is a​ function, then state its domain and range.

Question

(3,6), (-4,6), (9,8), (3,17)

Does the relation represent a function? Choose the correct answer below.

Yes.

No.

Answer 1

No, it's not a function

the problem is the 1st and last points (3, 6) and (3, 17)

there are 2 y values for the same x value

you can draw a vertical line through the two points. That's the vertical line test for a function. IF a vertical line cuts the graph in more than one point, it's not a function

x=3 is a vertical line that intersects both points (3,6) and (3,17)

Answer 2

No, since:

Definition of a function is If x1 = x2 then y1 = y2.for all x's.

In the first and the last points, we have x1 = x2 but y1 is not = y2, so the relation is NOT a function.

Also you can say that the vertical line test will fail, as mentioned above.