Your teacher will grade your responses to the following questions to ensure that you receive proper credit for your answers.
Use the vertical line test to determine if the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function. Explain your response.
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 when we visualize drawing vertical lines on a graph, passing through each x-coordinate of the relation's points. If any vertical line intersects the graph in more than one point, then the relation is not a function. If all vertical lines intersect the graph at most once, then the relation is a function.
Let's plot the points in the relation on a graph:
(-6, -2) (X)
(-2, 6) (X)
(0, 3) (X)
(3, 5) (X)
When we plot these points and connect them, the resulting graph passes the vertical line test. At no point does any vertical line intersect the graph in more than one point. Thus, we can conclude that the relation {(–6, –2), (–2, 6), (0, 3), (3, 5)} is a function.