Question

determine whether the following graph represents a function.
answer attempt 1 out of 2
the graph does represent a function because at least one input is mapped to multiple outputs. for example, the input ( x = ) is mapped to the approximate outputs of ( y = ) and ( y = ).

Explanation:

Step1: Apply Vertical Line Test

A graph represents a function if no vertical line intersects it more than once. For this graph, a vertical line at $x=-2$ intersects the graph at two distinct points.

Step2: Identify Input/Output Pairs

At $x=-2$, the graph crosses two $y$-values: approximately $y=2$ and $y=-4$.

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 $y = 2$ and $y = -4$.