{(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)
Part C) which ordered pair could be removed so that the
relation is a function? Explain your answer.(2pts)
Part B) In order for a relation to pass the vertical line test, each x-coordinate must correspond to only one y-coordinate. If a vertical line can intersect the graph at more than one point, then the relation fails the vertical line test and is not a function.
Looking at the given relation {(1,5)(3,8)(3,3)(9,6)(7,7)}, we can see that the x-coordinate 3 corresponds to two different y-coordinates, 8 and 3. Therefore, the relation does not pass the vertical line test and is not a function.
Part C) In order to make the relation a function, we need to remove the ordered pair where the x-coordinate is repeated. In this case, we need to remove the ordered pair (3,8) or (3,3) since the x-coordinate 3 corresponds to two different y-coordinates.