Question

How do you find all the asymptotes for function `f(x) = (13x) / (x+34)`?

Answer 1

Vertical asymptote: `x= -34`
Horizontal asymptote: `y= 13`

Explanation:

1) Horizontal asymptote

Set the denominator equal to 0, and solve for `x`
`x+ 34= 0`
`" "-34" " " -34`

=================
`x= -34`

2) Horizontal asymptote
Is the ratio of the leading term of the numerator and denominator when the degree are the same
`y= (13x)/x`

`y= 13`

3) The oblique asymptote doesn't exist, because we have a horizontal asymptote