Question

True or False: If there is a vertical asymptote at x = a for the Function f(x), then f is undefined at the point x = a

Answer 1

False.

Explanation:

Answer 2

Answer: True

One example would be f(x) = 3/(x-2). Here the 'a' value is a = 2.

Plugging x = 2 into f(x) leads to a division by zero error. Visually the graph will have a vertical asymptote through 2 on the x axis. The vertical asymptote is like an electric fence in which the graph slowly approaches but never touches or crosses.