Week7-Math10-FunctionVSRelation

In week 7 of Math10, we learned the difference between a function and a relation.

A relation is when there are 2 of the same values for the input but different values for the output. For example.

Input|Output
1 | 3
3 | 4
1 | 2
5 | 1

This means that this is a relation because there are two one’s in the input but have different outputs.

On a graph, it’s easier to see if the graph is a function or relation using the vertical line test.
On a graph this is what it would look something like this.

If you took a ruler and held it up straight and went through the graph you would see that the graph touches the ruler on the same X-axis more than once. Therefore, it is a relation.

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