Look at this table:

Question

x y
4 14
13 –11
13 17

Is this relation a function?

Answer 1

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

In the given table:

• For \( x = 4 \), \( y = 14 \)
• For \( x = 13 \), there are two different values of \( y \): \( -11 \) and \( 17 \)

Since the value \( x = 13 \) corresponds to two different values of \( y \), this means that the relation is not a function.