Question

Help! Quick! Algebra 2! Asymptotes!

Answer 1

I'm confused.

Answer 2

the vertical asypmtote is where your function is not defined
in other words the value that makes to denominator equal to zero

Answer 3

Ok. Does that make x -7?

Answer 4

x=-7 is correct

Answer 5

So, how do I find y?

Answer 6

the horizontal asypmtote you do little analysis
you look at the first term what happens as the values of x are really big
the denominator will huge as we change x to be bigger and bigger
so we would have a very small number over a biggish number
so that term will almost be zero but not zero
we are then left with only 6 term
so y=6 is the horizontal asymptote
meaning that the graph will go all the way closer to y=6 and but never cross it or touch it

Answer 7

if you graph that hyperbola it will make sense to you why 6 is horizontal asymp

Answer 8

I assume you haven't studied something called LIMITS

Answer 9

Erm....limits?

Answer 10

I have,

Answer 11

well then take the limit of that as x approaches infinity

Answer 12

K. Thanks

Answer 13

welcome!