Which of the following best explains why a graphed equation that represents a function of x CANNOT intersect any vertical line at more than one point? All the points in a vertical line have the same y–coordinates, so the graphed equation would map more than one x to the same y value.

All vertical lines are parallel, and parallel lines do not intersect.

All the points in a vertical line have the same x–coordinates, so the graphed equation would map the same value to more than one y value.

There is no restriction on the number of times the graph of a function can intersect a vertical line.