Question

need help finding the vertical asymptote, Horizontal asymptote,Y and x intercepts and graphing 2/X-1

Answer 1

This help?

http://www.wolframalpha.com/input/?i=2%2F%28x-1%29

Answer 2

thanks great answers but bit confused on steps

Answer 3

Well there aren't many, there must be vertical asymptote when x= 1 (divisor would be 0).

Answer 4

whats the horizontal asymptote?

Answer 5

Now think what happens as X gets bigger either plus or minus....

Answer 6

um not sure prob y gets bigger too

Answer 7

No y...

Answer 8

2/10,2/100,2/1000 etc (or with negatives)

Answer 9

im sorry lost lol

Answer 10

like ratios make sense but how does that relate with horiz asymptote.

Answer 11

As x increases without bound the expression becomes smaller and smaller (or "y" becomes smaller and smaller if that's easier) but never quite reaches the x axis so the x-axis is a horizontal asymptote.

Answer 12

ahh yes

Answer 13

As for the y intercept just put x = 0....

Answer 14

thought if you set x =0 then 2/-1=--2

Answer 15

Yes, -2 , that's right.

Answer 16

ok so u said the x asxis is a horizontal asymptote how do i know what poin on the x axis?

Answer 17

???

Answer 18

what value y=x? is my horizontal

Answer 19

the x-axis!!!! y= 0

Answer 20

I don't believe u actually asked that, lol

Answer 21

oh lol so u meant 0,0

Answer 22

No, I meant the x-axis ie the line y= 0

(the vertical one is the line x= 1)

Answer 23

i wasnt sure because i know you use those rules based on the exponents of the denominator and numerator.

2 and x share same exponenet of 1 correct?

Answer 24

but thanks think i got it now

Answer 25

For this simple example where there are no powers in the numerator, u can just look at the denominator and see that when x is 1 you will undefined = asymptote.

Answer 26

alright thanks sorry for my slowness I suck at math

Answer 27

U need to just slow down a little bit and think a little more , everything will be just fine for u...