Question

@phi

Answer 1

what is the horizontal asymptote

Answer 2

to find a horizontal asymptote, look at the highest order terms in the top and bottom. Do you know what they are ?

Answer 3

-2x^6 and 8x^6?

Answer 4

yes. now when x gets really big, the lower orders terms are "swamped out" and don't count for much.

so we just look at
\[ y = \frac{-2x^6}{8x^6} \]
can you simplify that ?

Answer 5

remember, anything divided by itself is 1

Answer 6

-1/4 right because the x^6 cancels its self out and -2/8 reduces into -1/4

Answer 7

yes, you get
y = -¼

as you might remember, that is the equation of a horizontal line
that is what your fraction gets very close to when x is big (but never reaches)

Answer 8

yes I do remember but one question is that the answer to my question?

Answer 9

oops never mind yes it is can you help with some more

Answer 10

yes, a horizontal asymptote is the horizontal line the function approaches

Answer 11

can you help me graph

Answer 12

@phi can you?

Answer 13

I can make a new question

Answer 14

you should make these new posts.

Answer 15

ok