Question

Which of the following is the best definition of a vertical asymptote?

A. A horizontal line that the graph of a function approaches but never intersects
B. A vertical line that the graph of a function approaches but never intersects
C. A vertical line that the graph of a function approaches and intersects
D. A horizontal line that the graph of a function approaches and intersects

Answer 1

it's like... a space... it doesn't connect... it's like an upside down volcano with a line that goes up and down.

Answer 2

ok that dashed line is not drawn well. but a vertical asymptote is a vertical line which corresponds to the zeros of the denominator of a rational function...

the dashed line is the area where you don't graph . the domains are restricted.