Rational Functions II

Question

Graph y=2/x+6-1

Answer 1

Well as is, you got y = 2/(x-5).

There is a vertical asymptote at x=5

 

As x approaches infinity, this function approaches zero.

The same limit is true as x approaches negative infinity.

So the horizontal asymptopes are zero on both sides.

 

Set up a table of x-y values and graph or 

use a function plotter like Desmos