# What are the asymptotes of #y=1/(x+3)# and how do you graph the function?

##### 1 Answer

Dec 21, 2016

Vertical:

Horizontal:

#### Explanation:

graph{y(x+3)-1=0 [-10, 10, -5, 5]}

Inversely,

x 1/y-3 to +-oo, as x to 0#.

So, the asynptotes are x = -3 and y = 0.

Interestingly, the equation

hyperbola, having these asymptotes that meet at its center (-3, 0).