Final answer:
The graph y = f(x) cannot intersect a vertical asymptote; this statement is false because a vertical asymptote is a value that a function approaches but never reaches. The correct option is 2) false.
Step-by-step explanation:
The statement that the graph y = f(x) can intersect a vertical asymptote is false. A vertical asymptote represents a value along the x-axis that the function f(x) approaches but never actually reaches.
In other words, the function will approach infinity or negative infinity as it gets closer to the vertical asymptote but will not cross or touch it. Therefore, by definition, a graph cannot intersect its vertical asymptote.