# Does the equation #abs(y-x) = 1# define a function?

##### 1 Answer

Aug 31, 2016

The relation

#### Explanation:

A relation is a function if it defines at most one value of

The equation:

#abs(y-x) = 1#

describes a relation between

Here is its graph:

graph{abs(y-x)=1 [-5, 5, -2.5, 2.5]}

So for example, if