How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function

Question

mario62 [17]

2 years ago

8

How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function

?

Mathematics

1 answer:

-BARSIC- [3] · Answer 1 · 2022-11-18T19:49:10+03:00

Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example $y=\frac{1}{x}$ :

As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote

As y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote

See the graph for a visual.