Question

{(1,5)(3,8)(3,3)(9,6)(7,7)}
Part B) Does this relation pass the vertical line test? How
Bo you know, explain your answer.(2 pts)
Answer
{(1,5)(3,8)(3,3)(9,6)(7,7)}
Part C) which ordered pair could be removed so that the
relation is a function? Explain your answer.(2pts)
Answered by GPT 3.5
No, this relation does not pass the vertical line test. The vertical line test states that if any vertical line intersects a graph in more than one point, then the relation is not a function. In this case, the relation has two points with the same x-coordinate: (3,8) and (3,3). Since these points have the same x-coordinate, they both lie on the same vertical line, and therefore the vertical line intersects the graph in more than one point. Therefore, the relation is not a function and does not pass the vertical line test.
Answered by GPT 3.5
In order for the relation to be a function, each input (x-coordinate) must correspond to only one output (y-coordinate). Looking at the given relation, the ordered pair (3,8) and (3,3) have the same x-coordinate (3) but different y-coordinates. Therefore, in order for the relation to be a function, we would need to remove one of these ordered pairs.

If we remove the ordered pair (3,8), then the relation becomes {(1,5)(3,3)(9,6)(7,7)}. Now each input has only one corresponding output, fulfilling the requirement for a function. Therefore, by removing the ordered pair (3,8), we can make the relation a function.