Question

State the horizontal asymptote of the rational function.
f(x) = x^2 + 8x - 2 / x - 2

Answer 1

\(\bf f(x) = \cfrac{x^2 + 8x - 2 }{ x - 2} \quad ?\)

Answer 2

if that's the case, you really only get a horizontal asymptote when the denominator's "degree" is higher OR equal to the numerator's

Answer 3

^ yes and these are the answer choices:
None

y = 1

y = -8

y = 2
@jdoe0001

Answer 4

ok, then you'd know the answer by now then :)

what's the degree of the polynomial at the numerator?
what about the degree of the one in the denominator?

Answer 5

2 and then 1

Answer 6

yes, so there

Answer 7

But those are both different answer choices

Answer 8

----> if that's the case, you really only get a horizontal asymptote when the denominator's "degree" is higher OR equal to the numerator's <----

Answer 9

so 1 !

Answer 10

1? y = 1?

Answer 11

2?

Answer 12

hmmmm
do you know what
-> you really only get a horizontal asymptote when the denominator's "degree" is higher OR equal to the numerator's <-

mean?

Answer 13

if the polynomial in the denominator has a higher degree than that of the numerator's, then you have a horizontal asymptote, otherwise, you don't

Answer 14

Okay so it's none ?

Answer 15

higher or equal btw

if the numerator's "degree" is higher than the denominator's, then you have no horizontal asymptotes

Answer 16

so, yes, in this case the degree of the numerator is 2, the denominator is 1
so the numerator's degree is higher, thus no horizontal asymptotes

Answer 17

Thank youu ((:

Answer 18

yw