my vertical asy is x= -1

my horiztonal asy is y=0

my intercepts are (1,0)

Thanks

Guest Apr 2, 2017

#1**+1 **

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 :

https://www.wolframalpha.com/input/?i=x+%2F+(x+-+1)%5E2++++for+x+%3D+.9,.99,+.999,.9999,+1.0001,+1.001,+1.01

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

CPhill
Apr 2, 2017