Question

Pablo was graphing a function and noticed that at certain points, the graph reaches invisible lines the graph will never cross. Explain to Pablo what the two types of invisible lines are and how to predict them. You may create your own example to aid in your reasoning. Use complete sentences.

Answer 1

This describes horizontal and vertical asymptotes:


Vertical asymptotes determine what the function converges to as \(x\to0\).
Horizontal asymptotes describe what the function converges to as \(x\to\infty \).

Does this make sense?