Question

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

Answer 1

find vertical asymptotes

Answer 2

hmm how do i do that? :p

Answer 3

see when the denominator becomes 0

Answer 4

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

Answer 5

\(\large - \frac{1}{x-1}\)

Answer 6

set the denominator to 0
x -1 = 0

x = 1

Answer 7

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

Answer 8

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

Answer 9

Yes ! np :)

Answer 10

if u wanto do it in limits way,
you need to find a's such that :-

\( \large \lim \limits_{x \to a} ~f(x) = \pm \infty \)

Answer 11

ofcourse it can be one sided limit aswell..