## babydoll332 Group Title State the horizontal asymptote of the rational function. f(x) = x^2+6x-8/x-8 one year ago one year ago

1. L.T. Group Title

Can you find the derivative of this function first?

2. L.T. Group Title

Set the derivative equal to zero

3. babydoll332 Group Title

i normally pluged it into the graph

4. timo86m Group Title
5. L.T. Group Title

All right, I'll assume you can't do that now. Is this the equation:$x ^{2}+\frac{ 6x-8 }{ x-8 }$

6. babydoll332 Group Title

i see what u posted @timo86m but idk what the horrizontal is

7. babydoll332 Group Title

@L.T. ok what would i do

8. Outkast3r09 Group Title

there is a slant retricemptote.. not a horizontal =/

9. Outkast3r09 Group Title

lol asymptote... lame chat =]

10. satellite73 Group Title

the degree of the top is greater than the degree of the bottom therefore no horizontal asymptote no calc needed, that is all

11. L.T. Group Title

If what I wrote was the equation, then you find the derivative of each term in the equation, using the quotient rule on the second term.

12. babydoll332 Group Title

reall no horizontal ?

13. satellite73 Group Title

if the degree of the bottom was greater, then the horizontal asymptote would be $$y=0$$ if the degree of the top is greater no horizontal asymptote

14. Outkast3r09 Group Title

yes there is a slant use long division

15. Outkast3r09 Group Title

if you ned to find the slant asymptote

16. satellite73 Group Title

if the degrees are the same, it is the ration of the leading coefficients that is it

17. babydoll332 Group Title

so the anserw is no horizontal asymptote

18. satellite73 Group Title

that is correct. there is none

19. timo86m Group Title

it has a slanted asymptote with a slope of 1045/1058

20. babydoll332 Group Title

ok thank you so much

21. Outkast3r09 Group Title

how'd you find that @timo86m

22. timo86m Group Title

take derivitive of (x^2+6x-8)/(x-8) ${\frac {2\,x+6}{x-8}}-{\frac {{x}^{2}+6\,x-8}{ \left( x-8 \right) ^{2} }}$ then just plug in a very high or very low value for x It has roughly a V asymptote of 8.5

23. L.T. Group Title