The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following:

Question

y=1
y=-1
y=2
y=0
There is no leading coefficient so I am not sure what the answer is.

Answer 1

CORRECTION: THE SECOND OPTION IS NOT Y=-1 it is Y=-18

Answer 2

The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following:
y=1
y=-18
y=2
y=0

Answer 3

as x gets huge, the 2 and the 36 become insignificant:

y -> x^2/x^2

Answer 4

so the answer is 2?

Answer 5

since when is x^2/x^2 = 2?

10/10 = 1
z^3/z^3 = 1

don't forget your Algebra I now that you're taking calculus.

Using the usual method, divide top and bottom by x^2. That gives you

(1 + 2/x^2)/(1 - 36/x^2)

as x^2 gets huge, 1/x^2 -> 0
and the fraction becomes 1/1

NOT 2!!

Answer 6

ok THANK YOU!!!!!!!