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 the vertical - line test

A graph represents a function if for every x - value there is exactly one y - value. The vertical - line test checks this by seeing if any vertical line intersects the graph at more than one point.

Step2: Analyze Graph 1

The given Graph 1 (a straight line) passes the vertical - line test as any vertical line will intersect it at most once.

Step3: Assume Graph 2 and Graph 3 pass

Based on the pre - checked boxes, we assume Graph 2 and Graph 3 also pass the vertical - line test.

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 we only have Graph 1 shown and no information about Graph 2 - Graph 6, assuming Graph 1 passes the vertical - line test (it appears to be a straight line which will pass the vertical - line test), if the other graphs are not shown and no information about them is given, we can only say for sure about Graph 1. But if we assume based on the check - boxes that Graph 2 and Graph 3 also pass the vertical - line test, the answer would be: Graph 1, Graph 2, Graph 3.