A relation may or may not represent a function.
Table (a), (c) and (d) represent a function
The tables represent a relation
For a relation to be a function, then:
The y values must have unique (or distinct) x-values.
From the list of tables, we have the following observations
- All y values in table (a), have different corresponding x values
- y values 3 and 6 in table (b), point to the same x value (2)
- All y values in table (c), have different corresponding x values
- All y values in table (d), have different corresponding x values
Hence, all the tables represent a valid function, except table (b)
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