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

Oct 16, 2016

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 $x \rightarrow \pm \infty$, $y \rightarrow 3$ So $y = 3$ is a horizontal asymptote
To caculate the intercept with the x axis, put $y = 0$
$0 = \frac{7}{x} + 3$ So $\frac{7}{x} = - 3$ and $x = - \frac{7}{3}$
See Graph
graph{3+(7/x) [-20, 20, -10, 10]}