{(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)
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.
{(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)
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.