Question

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

Explanation:

Step1: Recall the vertical line test

A graph represents a function if every vertical line intersects the graph at most once. This is because a function must assign each input (x - value) to exactly one output (y - value).

Step2: Apply the vertical line test to the given graph

If we imagine drawing vertical lines at different x - values across the graph, we can see that for any x - value, there will be at most one point of intersection with the graph. There are no two points on the graph that share the same x - value (i.e., no vertical line will intersect the graph more than once).

Answer:

The graph \(\boldsymbol{\text{does}}\) represent a function because every vertical line intersects the graph at most once (passes the vertical line test, meaning each \(x\) - value is mapped to exactly one \(y\) - value).