# How do you graph y =1/(x+3)?

Aug 3, 2015

Solve the function for numbers around $x = - 3$, since that is the domain function. Then connect the results you find, forming two curves.

#### Explanation:

This is a reciprocal function , so it has a domain restriction. Since no number can be divided by zero, we have to find the solution for $x + 3 = 0$. That would be $- 3$.
After that, we solve the function for numbers close to the restriction. The result should be two curves.
$f \left(- 6\right) = - 0.333$
$f \left(- 5\right) = - 0.5$
$f \left(- 4\right) = - 1$

$f \left(- 2\right) = 1$
$f \left(- 1\right) = 0.5$
$f \left(0\right) = 0.333$
graph{1/(x+3) [-7, 1 -3, 3]}