How do you find the vertical, horizontal and slant asymptotes of: y=(x^2-64)/(x-8)?

1 Answer
May 11, 2016

function has no asymptotes.

Explanation:

First step here is to factorise and simplify the function.

$\Rightarrow y = \frac{\cancel{\left(x - 8\right)} \left(x + 8\right)}{\cancel{\left(x - 8\right)}} = x + 8$

The function simplifies to y = x + 8, which is the equation of a line and hence has no asymptotes.