Which of the following are the equations of all horizontal and vertical asymptotes for the graph of f of x equals x divided by the quantity x times the quantity x squared minus 4? f(x)=x/(x^2-4)

y = 1, x = –2, x = 2
y = 0, x = –2, x = 0, x = 2
y = 0, x = –2, x = 2
y = 1, x = –2, x = 0, x = 2

Question

Which of the following are the equations of all horizontal and vertical asymptotes for the graph of f of x equals x divided by the quantity x times the quantity x squared minus 4? f(x)=x/(x^2-4)

 y = 1, x = –2, x = 2
 y = 0, x = –2, x = 0, x = 2
 y = 0, x = –2, x = 2
 y = 1, x = –2, x = 0, x = 2

anonymous · Answer

@iambatman can u plz help? :)

anonymous · Answer

@ganeshie8 can u plz help? :)

nnesha · Answer

V:A set denominator equal to zero then solve for x 
H:A : if
    N > D no asymptotes
    N< D  y = 0
   N = D   then leading coefficient(of numerator)/leading coefficient ( of denominator)

nnesha · Answer

N= numerator 
D= denominator 
so if degree of numerator is bigger than the denominator then  no horizontal asy.

nnesha · Answer

did they gave you that function  x/x^2-4 ??

anonymous · Answer

yes :)

nnesha · Answer

OKAY  |dw:1423941696874:dw|
now set denominator = to 0
V:A ( vertical asy.)  x^2-4 = 0 
solve for x :)

nnesha · Answer

can you solve x^2 -4 = 0
for x ?? :)

nnesha · Answer

are you there ?? :)

anonymous · Answer

yes sorry my computer froze up :) it is x = plus or minus 2

nnesha · Answer

yes thats right so vertical as is x = -2 and x =2

anonymous · Answer

thank u:)

nnesha · Answer

now find horizontal asy|dw:1423947670792:dw|
highest degree at the numerator is less than the den.