use the vertical line test to determine whether the relation graphed below is a function. the points are (-4,3), (1,2), (-2,-1), (3,-2)
A.yes**
B.no
C. can not be determined
** my answer
correct -- no two pairs have the same input value.
Please answer this ASAP
thanks
To determine whether the relation graphed is a function, we can use the vertical line test. The vertical line test is a method in which we visualize each possible vertical line passing through the graph. If each vertical line intersects the graph at most once, then the relation is a function. However, if any vertical line intersects the graph at two or more points, then the relation is not a function.
In this case, let's analyze the given points:
(-4, 3)
(1, 2)
(-2, -1)
(3, -2)
To perform the vertical line test, we mentally draw vertical lines through the x-values of each point and observe how many times they intersect the graph:
For the x = -4 vertical line:
- It intersects the graph at the point (-4, 3). ✔️
For the x = 1 vertical line:
- It intersects the graph at the point (1, 2). ✔️
For the x = -2 vertical line:
- It intersects the graph at the point (-2, -1). ✔️
For the x = 3 vertical line:
- It intersects the graph at the point (3, -2). ✔️
As we can see, each vertical line intersects the graph at most once, meaning that no vertical line intersects the graph at two or more points. Hence, the relation is a function.
Therefore, the correct answer is A. Yes.