Question

How do you graph `y=7/x+3` using asymptotes, intercepts, end behavior?

Answer 1

horizontal asymptote at `y=3`
Vertical asymptote at `x=0`

Explanation:

If you look at the equation, there is one evident asymptote which is when `x=0`,it's a vertical asymptote since `x≠0`
THe other one is when `xrarr+-oo`, `yrarr3` So `y=3` is a horizontal asymptote
To caculate the intercept with the x axis, put `y=0`
`0=7/x +3` So `7/x=-3` and `x=-7/3`
See Graph
graph{3+(7/x) [-20, 20, -10, 10]}