Question 358884: how can you tell relations is a function on a graph?
Answer by neatmath(302) (Show Source):
You can put this solution on YOUR website! The easiest way to tell if the graph of a relation is a function is to use the vertical line test!
If you draw a vertical line through any (and all) points on the graph, and the vertical line touches 2 or more points on the graph, then it is NOT a function!
Remember functions have a 1 to 1 relationship.
For each x value, there is 1 and only 1 y value.
So if any x value has 2 or more y values, it can NOT be a function.
The vertical line test will show this to you graphically.
If you draw a vertical line through any (and all) points on the graph, and the vertical line touches only 1 point on the graph, then it is a function!
I hope this helps!
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