While performing a vertical line test on a graph, you notice that the graph intercepts the vertical line twice. Which of th

Answer 1

e following can be true about the graph?

1) The graph represents a function: If the graph intercepts the vertical line twice, this means that two different x-values correspond to the same y-value. In a function, each x-value can only have one corresponding y-value, so this situation would violate the definition of a function.

2) The graph represents a relation: Unlike a function, a relation can have multiple y-values corresponding to the same x-value. In this case, the intercepts on the vertical line would represent different y-values for the same x-value, making this a valid possibility.

3) The graph is a straight line: If the graph is a straight line, it cannot intercept a vertical line twice. A straight line can only intersect a vertical line once unless they are the same line.

Based on these options, the only possible answer is that the graph represents a relation.