Answer: Option 4 - If any vertical line can intersect the graph at more than one point the graph does not represent a function
Step-by-step explanation:
The vertical line test is a simple test that is used to determine if a graph is a function and is accomplished by drawing a variety of vertical lines on the graph to observe how many intersection points those lines have with the graph
If a variety of lines are drawn and they only intersect the graph at one point, this means that the graph is a function because there is one defined input for every output (ie. every x-value only corresponds to one y-value on the graph)
If a variety of lines are drawn and they intersect the graph at more than one point this means that there are more than one input for every output and the graph is not a function
Why the other options are incorrect:
Option 1: a vertical line test uses multiple vertical lines in order to ensure that the graph has been tested properly, otherwise you may miss a section of the graph that intersects with the vertical line in more than one place
Option 2: If a vertical line intersects the graph at one point, the graph is a function but you need more than one line to determine this
Option 3: If there are multiple intersection points, the graph is not a function
therefore, option 4 is correct
hope this helped!