Match the graph with the function without using a graphing software.

Question

anonymous · Answer

attachment

ganeshie8 · Answer

find vertical asymptotes

anonymous · Answer

hmm how do i do that? :p

ganeshie8 · Answer

see when the denominator becomes 0

ganeshie8 · Answer

then you wil get 1/0 = infinity, and the funciton increases without any bounds - vertical asymptote

ganeshie8 · Answer

$\large  -  \frac{1}{x-1}$

ganeshie8 · Answer

set the denominator to 0
x -1 = 0

x = 1

ganeshie8 · Answer

that means, there is oly one vertical asymptote at x  = 1
look at ur options and see if u can figure it out :)

anonymous · Answer

hmm from the options given only 1 vertical asymptote at x=1 is D. Thanks for the tip! :D

ganeshie8 · Answer

Yes ! np :)

ganeshie8 · Answer

if u wanto do it in limits way,
you need to find a's such that :-

$ \large   \lim  \limits_{x \to a} ~f(x)  = \pm \infty $

ganeshie8 · Answer

ofcourse it can be one sided limit aswell..