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:

A graph represents a function only if every x-value (input) has exactly one y-value (output), which is verified by the vertical line test. This graph fails the test: a vertical line at \(x=-6\) intersects the ellipse at two distinct points, meaning this input has two different outputs.

Answer:

The graph does not represent a function because at least one input is mapped to multiple outputs. For example, the input \(x = -6\) is mapped to the approximate outputs of \(y = 8\) and \(y = -8\).