Question

13 a relation contains the ordered pairs shown. one of the ordered pairs is missing an x-coordinate.
{(-1, 4), (0, 4), (2, 5), (3, -6), (?, 7)}
what could be the missing x-coordinate if the relation is not a function?
enter your answer in the box

Explanation:

Step1: Recall function definition

A relation is not a function if at least one input (x-value) maps to more than one output (y-value).

Step2: Identify existing x-values

The given x-coordinates are: $-1, 0, 2, 3$.

Step3: Determine valid missing x

To make the relation not a function, the missing x-coordinate must match one of the existing x-values (so this x-value will pair with two different y-values).

Answer:

$\boldsymbol{-1}$ (or $\boldsymbol{0}$, $\boldsymbol{2}$, $\boldsymbol{3}$; any of these values is acceptable)