Determine If A Relation Is A Function Worksheet

8 problems

A mapping between any two given sets is defined by relations and functions. We can define relation as a set of ordered pairs that shows the relationship between two sets. Function is a subset of relation. Thus, we can say that all functions are relations, however, all relations are not functions. The basic difference between a function and a relation is that a relation may have different outputs for a single input, however, a function only has a single output for a single input. 


Grade 8
Linear Relationships And Functions

Teaching to Determine if a Relation is a Function Easily


Follow the steps given below to determine if a relation is a function:

  • Step 1: Check if any of the x-coordinates of any of the ordered pairs provided in the question are equal.
  • Step 2: If there are ordered pairs in which x-coordinates are equal but the y-coordinates are not equal, we can say that the relation is not a function.
  • Step 3: If the former situation does not arise, the relation is a function.  

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