Question

determine whether the following graph represents a function.
answer attempt 1 out of 2
the graph represent a function because is mapped to .

Explanation:

To determine if a graph represents a function, we use the Vertical Line Test: any vertical line drawn on the graph should intersect the graph at most once. For this graph, if we draw a vertical line (e.g., $x=-4$), it intersects the graph at two points (one on the upper curve, one on the lower curve). This means a single $x$-value is paired with two different $y$-values, violating the definition of a function.

Answer:

The graph does not represent a function because at least one $x$-value is mapped to more than one $y$-value.