Question

Identify the asymptote.
y = 1/ x + 2

Answer 1

Alright, we can see that as x approaches infinity, f(x)=y approaches 2. This is a horizontal asymptote. understand?

Answer 2

Not really, I need help showing my work. I know the answer should be x = - 2 and y = 0

Answer 3

@allank

Answer 4

Let me walk u through it. First, what is the limit of 1/x as x approaches infinity?

Answer 5

0?

Answer 6

Yes.

Answer 7

Now, we have a function f(x) whose graph is f(x)=y=1/x+2. Can you draw this graph?

Answer 8

I have it drawn on my paper. do you want me to try drawing ot on here?

Answer 9

Yes please

Answer 10

Okay, let's observe the section x>0