BloomLocke367
  • BloomLocke367
How do I create a table of values to determine the behavior of a graph at the vertical asymptotes?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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BloomLocke367
  • BloomLocke367
@mathmate
BloomLocke367
  • BloomLocke367
@Shalante
anonymous
  • 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?

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BloomLocke367
  • BloomLocke367
the v. asymptote is at x=-1 and the function is \(f(x)=\frac{2x-3}{x+1}\)
anonymous
  • anonymous
Plug and chug values close to the asymptotes You never took calculus right?
BloomLocke367
  • BloomLocke367
right @Shalante
anonymous
  • anonymous
Yea that is basically it. x=-1 is undefined. Plug like -1.0001 and -1.01 and -0.999& -0.98 Understood?
anonymous
  • anonymous
Oh dang, got to go now.
BloomLocke367
  • 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
BloomLocke367
  • BloomLocke367
dang, ok. thanks for your help
anonymous
  • anonymous
Just plug values to the left and right of the equation. It should tell you.
BloomLocke367
  • BloomLocke367
ok
mathmate
  • mathmate
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mathmate
  • mathmate
The reason you need to plot is to see if it goes + or - infinity, from the left or from the right.
mathmate
  • 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.
BloomLocke367
  • BloomLocke367
okay. I made my table and now I need to use limit notation to express the behavior.
BloomLocke367
  • BloomLocke367
and I understand that part @mathmate
BloomLocke367
  • BloomLocke367
and I already got the horizontal asymptote.. it's y=2. Now all I need is that one part
mathmate
  • mathmate
Yes, horizontal asymptote is 2, from Lim 2x/x. (even though this particular question did not ask for it).
BloomLocke367
  • BloomLocke367
actually it did XD I just didn't write it
BloomLocke367
  • BloomLocke367
OOOH I THINK I KNOW WHAT IT MEANS. do I write it in limit notation as it approaches the v. asymptote?
BloomLocke367
  • BloomLocke367
I got it. I only have one more c: I'll open a new question and tag you
mathmate
  • mathmate
ok!

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