Pre calc help!?

Question

Use everyday language to describe the behavior of a graph near its vertical asymptote if f(x) approaches +infinity as x approaches -2^- and f(x) approaches -negitive infinity as x approaches -2^+

Answer 1

Hello

We don't have enough information to tell what the graph is doing except around -2. What this means is that if we look at the line x = -2 (a Vertical line) on the left side of the line as the values approach -2 from the left the graph rises toward the line x = -2 and the closer x gets to -2 the higher the graph goes and it continues to get closer (asymptotic) to the line x = -2 by never touches it. Similarly, as x gets closer to -2 from the right the graph falls and gets asymptotic to the line x = -2 from the right.

Hope This Helps!!