# How do you graph  (x)/(x^2-4)?

Jul 30, 2015

Find the domain of this function and solve the function for numbers around the restriction.

#### Explanation:

First of all, you know that this function has a domain restriction, since no number can be divided by zero. Therefore, find the result of ${x}^{2} - 4 = 0$.
You'll see that, for this function, x cannot be 2 or -2. You can then solve the function for some numbers around 2 and -2 and connect them with lines. There will be 3 intervals. For example:
$f \left(- 4\right) = - 0.333$
$f \left(- 3\right) = - 0.6$

$f \left(- 1\right) = 0.333$
$f \left(0\right) = 0$
$f \left(1\right) = - 0.333$

$f \left(3\right) = 0.6$
$f \left(4\right) = 0.333$
graph{x/(x^2-4) [-10, 10, -5, 5]}