okay, sorry for last post but this one i'm stuck on.
Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function. Explain your response
sorry that i cant put the graph down. those numbers are points in a graph.
ok, all the points are correct, i know that. but is this a function? And two separate lines have to go through two points? (due to what it looks like) how exactly do i explain this?
i used this site to help called mathwords for the vertical line test but im still confused.
can someone help? thanks
okay, i get it now. question still is confusing but i'll solve it on my own:) sorry again, my bad. bye!
To determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function, we can use the vertical line test. The vertical line test is a method used to check if any vertical line drawn on a graph intersects the graph in more than one point.
To apply the vertical line test to this relation, imagine drawing several vertical lines on the graph and observe whether each vertical line touches the graph at only one point. If every vertical line intersects the graph at a unique point, then the relation is a function. However, if there exists any vertical line that intersects the graph at more than one point, then the relation is not a function.
In this case, let's consider the points in the relation. We have the points (–6, –2), (–2, 6), (0, 3), and (3, 5).
To perform the vertical line test, imagine drawing several vertical lines at different positions on the graph. Observe whether each vertical line intersects the graph at more than one point.
For the given points, when we draw vertical lines through each x-value, we find that every vertical line intersects the graph at only one point. Therefore, no two points share the same x-coordinate.
Since each vertical line intersects the graph at only one point, we conclude that the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} passes the vertical line test. Hence, the relation is a function.
Remember, when explaining this in your own words, describe the concept of the vertical line test and how it is applied to the given relation.