Question

How do you graph `y=(x+10)/(x^2+5)` using asymptotes, intercepts, end behavior?

Answer 1

The horizontal asymptote is `y=0`
A point is `(0,2)`

Explanation:

The domain of `y` is `RR`
When `x=0` `=>` `y=2`
limit y`=x/x^2=1/x=0`
`x->+oo`
So a horizontal asymptote is `y=0`
graph{(x+10)/(x^2+5) [-10, 10, -5, 5]}