The graph shows a function The graph fails the vertical line test.
A vertical line test is a tool used to determine if we have a function.
What is the vertical line test?
The vertical line test is a method that is used to determine whether a given relation is a function or not. The approach is rather simple.
If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test.
Consequently, this leads to the relation not being a function.
For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.
Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.
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