How do you use the vertical line test to determine whether #{(-2,9), (3,9), (-0.5,9), (4,9)}# is a function?
1 Answer
Nov 3, 2016
Find how many times a vertical line would intersect the graph.
It is once, so this is a function.
Explanation:
The vertical line test is used when you have a graph. If you draw a vertical line and it intersects the graph only once, it is the graph of a function.
This is because when you draw a vertical line, you are choosing a specific x-value and finding how many y-values are associated with it.
For a function, each and every x- value should have only ONE y-value.
In this case, you have a set of points.
The y-values are all the same, so they represent a horizontal line.(the line
If you draw a vertical line it would intersect it only once.
Each x-value has only one y-value.
If you had a choice of y-values it would not be a function.
