Does this table represent a function?:

x | y
5 | 0
3 | 3
3 | 1
8 | 7

1 answer

A relation is considered a function if each input (in this case, the values of \( x \)) is associated with exactly one output (the corresponding values of \( y \)).

In the given table:

  • For \( x = 5 \), \( y = 0 \) (one output).
  • For \( x = 3 \), there are two different outputs: \( y = 3 \) and \( y = 1 \).
  • For \( x = 8 \), \( y = 7 \) (one output).

Since \( x = 3 \) has two different \( y \) values (3 and 1), this table does not meet the criteria for a function. Therefore, the table does not represent a function.