Question

six graphs are shown below. click on the tabs to see them. graph 1 graph 2 graph 3 graph 4 graph 5 graph 6 check the box corresponding to each graph that represents a function. graph 1 graph 2 graph 3 graph 4 graph 5 graph 6 none of the graphs

Explanation:

Step1: Recall vertical - line test

A graph represents a function if any vertical line intersects the graph at most once.

Step2: Analyze Graph 3

Observe points on Graph 3. No two points have same x - value. So vertical line intersects at most once.

Answer:

To determine if a graph represents a function, we use the vertical - line test. If any vertical line intersects the graph at more than one point, the graph is not a function. Since we only have information about Graph 3 in the image and no other graphs are shown completely:

1. For Graph 3:

• By observing the plotted points, we can see that no two points have the same x - coordinate. So, for any vertical line we could draw on the coordinate plane of Graph 3, it will intersect the graph at most once. So Graph 3 represents a function.
• Based on the given check - boxes where Graph 1 and Graph 2 are already marked as functions, if we assume we are only considering these six graphs and based on the vertical - line test for Graph 3, the answer is Graph 1, Graph 2, Graph 3.