Question

determine whether each graph represents a function. function not a function

Explanation:

Step1: Recall the vertical line test

A graph represents a function if every vertical line intersects the graph at most once. This means each \( x \)-value has at most one \( y \)-value.

Step2: Analyze the given graph

Looking at the points in the graph, we check the \( x \)-coordinates. If there are multiple points with the same \( x \)-coordinate (different \( y \)-coordinates), it fails the vertical line test. From the graph, we can see that there are points with the same \( x \)-value (e.g., some points share the same vertical position in terms of \( x \)), meaning a vertical line would intersect multiple points. So it does not represent a function.

Answer:

Not a Function