Question

the graph does not represent a function because at least one input is mapped to multiple outputs. for example, the input ( x = square ) is mapped to the approximate outputs of ( y = square ) and ( y = square ).

Explanation:

Step1: Recall function vertical line test

A graph represents a function if any vertical line intersects it at most once. If a vertical line intersects the graph more than once, that input has multiple outputs, so it is not a function.

Step2: Identify an x-value with 2 y-values

Pick an x-value that crosses the diamond, e.g., $x=2$.

Step3: Find corresponding y-values

For $x=2$, the vertical line intersects the graph at $y=-1$ and $y=-5$.

Answer:

The graph does not represent a function because at least one input is mapped to multiple outputs. For example, the input $x=2$ is mapped to the approximate outputs of $y=-1$ and $y=-5$.