Consider the following the relation: {(1,5),(3,8),(3,3),(6,9),(7,7)}

Does This relation pass the vertical Line test How do you know explain your answer?
Which ordered pair could be removed so it is a function

The given relation does not pass the vertical line test.

To determine if a relation passes the vertical line test, we need to check if there is any vertical line that intersects the graph of the relation at more than one point. If there is such a line, then the relation does not pass the vertical line test and is not a function.

Let's consider the x-coordinate values in the given relation: 1, 3, 3, 6, 7. We can see that the x-coordinate value 3 appears twice. This means that there are two different y-coordinate values associated with the x-coordinate 3, which violates the definition of a function.

To make this relation a function, we need to remove one of the ordered pairs with an x-coordinate of 3. The ordered pair (3,8) or (3,3) can be removed to make the relation a function.