Question

given the ratonal function y=x^2/x-6

vertical asymptote: No___Yes____ Equation of asymptote:_________

horizontal asymtote: no______yes_____ equation of asymptote:_________

slant asymptote no______ yes_______ Equation of asymptote__________

Answer 1

vert asymps are what zeros out the denominator after all things have factored out; in this case id be what ... x=6 i believe

Answer 2

horiz asymps is what the value approaches as x gets very large....

in this case there is no horiz asymp

Answer 3

fill in the blanks if u could

Answer 4

i am ... in my own way

Answer 5

nvm i get what u r saying

Answer 6

what about slant

Answer 7

slant asymps are when you an equation of a line that the ends approach as x gets big; this one whould have one.

and we find it by dividing it out right and tossing away the remainder

Answer 8

x+6 <-- equation of slant asymp
--------
x-6 | x^2
-x^2+6x
----------
6x
- 6x -36
---------
-36 <-- remainder so toss it

Answer 9

so how do i write eq for slant asymptote

Answer 10

y = x+6