Sketching reciprocal and square roots of unknown fx graphs (2 Viewers)

[Tryingtodowell]

It would be greatly appreciated if any of you showed me the systematic approach to sketching random fx graph like this one because I cant find any videos on youtube that helps with this:

 

[Aeonium]

It would be greatly appreciated if any of you showed me the systematic approach to sketching random fx graph like this one because I cant find any videos on youtube that helps with this:
View attachment 42779View attachment 42780

the closer f(x) is to 0, the larger 1/f(x) is; the x-intercept is an asymptote, the sign is maintained between them, the y intercept just gets reciprocald i think, idk what happens to the other asymptotes lol

 

[Tryingtodowell]

the closer f(x) is to 0, the larger 1/f(x) is; the x-intercept is an asymptote, the sign is maintained between them, the y intercept just gets reciprocald i think, idk what happens to the other asymptotes lol

ok thankss

 

[d.goomeister]

the closer f(x) is to 0, the larger 1/f(x) is; the x-intercept is an asymptote, the sign is maintained between them, the y intercept just gets reciprocald i think, idk what happens to the other asymptotes lol

adding on, any vertical x-asymptotes in f(x) is an open circle in 1/f(x).
y-asymptotes are reciprocated.