six graphs are shown below. click on the tabs to see them. check the box corresponding to each graph that…
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
Answer
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.
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.