Question

six graphs are shown below. click on the tabs to see them. 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

The vertical - line test states that for a graph to be a function, any vertical line drawn on the coordinate plane should intersect the graph at most once.

Step2: Apply test to Graph 1

When considering vertical lines for Graph 1, we find that each vertical line intersects the graph 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 does not represent a function. Since only Graph 1 is shown here:

• For Graph 1: If we were to draw vertical lines across the graph, each vertical line would intersect the graph at most once. So, Graph 1 represents a function.

So the answer is Graph 1.