Question

Which equation represents the vertical asymptote of the graph? http://prntscr.com/9acofx

Answer 1

@malcolmmcswain

Answer 2

I can't see it, can you upload it as an attachment?

Answer 3

alright hold on

Answer 4

Ok, so do you know what an asymptote is?

Answer 5

imaginary line on a graph that a function or equation approaches more and more closely

Answer 6

Correct. So, what is your guess?

Answer 7

0?

Answer 8

Ok, do you know how to find limits?

Answer 9

choices=
x=-8
y=-8
x=0
y=0

Answer 10

no

Answer 11

What is the limit as x approaches 8 from the negative side?

Answer 12

umm how do find a limit?

Answer 13

In other words, what value does it seem to be approaching?

Answer 14

So, as x gets closer and closer to 8, y gets higher and higher, right? So, our limit is infinity :)

Answer 15

oooh okay

Answer 16

Ok, but wait.

Answer 17

So, using that, we can deduce what?

Answer 18

Also, I made a mistake. x is approaching -8

Answer 19

So, the answer is...

Answer 20

when y = infinity,
-insert answer-

Answer 21

wait so how does the limit help find the vertical asymptotes? cuz in my lesson it says the location of a vertical asymptote is found by setting the denominator of a simplified function equal to 0 solving for x but since theres no equation thats why im confused and i have no idea lol

Answer 22

That's another way to do it, but I find limits easier.

Answer 23

so x=-8?

Answer 24

Correct :)

Answer 25

Thank you mal :)

Answer 26

And the horizontal asymptote would be...?

Answer 27

No problem :D