my vertical asy is x= -1 

my horiztonal asy is y=0

my intercepts are (1,0) 


Guest Apr 2, 2017

f(x)  =  x / (x - 1)^2


This will have a horizontal asymptote at y = 0    the graph will approach this as it increases without bound both in a positive and negative direction


And it will will have a vertical asymptote at x  = 1


As x approaches 1 from both sides, y → infinity


To see this....pick some x values on either side of x = 1 that are increasingly closer and closer to 1 and evaluate them in the function.....here are some test values :




Look  at the graph here : https://www.desmos.com/calculator/8yxvmnqor7



cool cool cool

CPhill  Apr 2, 2017

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