## BloomLocke367 one year ago How do I create a table of values to determine the behavior of a graph at the vertical asymptotes?

1. BloomLocke367

@mathmate

2. BloomLocke367

@Shalante

3. anonymous

Can be done by using limits. Since DNE at x=(VA), use numbers very close to each side of the VA. Hope that helps a little?

4. BloomLocke367

the v. asymptote is at x=-1 and the function is $$f(x)=\frac{2x-3}{x+1}$$

5. anonymous

Plug and chug values close to the asymptotes You never took calculus right?

6. BloomLocke367

right @Shalante

7. anonymous

Yea that is basically it. x=-1 is undefined. Plug like -1.0001 and -1.01 and -0.999& -0.98 Understood?

8. anonymous

Oh dang, got to go now.

9. BloomLocke367

okay..okay. I'll do that. then it says to use limit notation to explain the behavior. I know what limit notation is...but I don't know the behavior

10. BloomLocke367

dang, ok. thanks for your help

11. anonymous

Just plug values to the left and right of the equation. It should tell you.

12. BloomLocke367

ok

13. mathmate

|dw:1441331980524:dw|

14. mathmate

The reason you need to plot is to see if it goes + or - infinity, from the left or from the right.

15. mathmate

And you're expected to identify the value of x where the vertical asymptote occurs. This you can do by checking at what point the denominator vanishes.

16. BloomLocke367

okay. I made my table and now I need to use limit notation to express the behavior.

17. BloomLocke367

and I understand that part @mathmate

18. BloomLocke367

and I already got the horizontal asymptote.. it's y=2. Now all I need is that one part

19. mathmate

Yes, horizontal asymptote is 2, from Lim 2x/x. (even though this particular question did not ask for it).

20. BloomLocke367

actually it did XD I just didn't write it

21. BloomLocke367

OOOH I THINK I KNOW WHAT IT MEANS. do I write it in limit notation as it approaches the v. asymptote?

22. BloomLocke367

I got it. I only have one more c: I'll open a new question and tag you

23. mathmate

ok!