# How do you graph #f(x)=1/(x^2-16)# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

See answer below

#### Explanation:

Given:

The given function is a rational (fraction) function of the form:

First factor both the numerator and denominator. The denominator is the difference of squares:

**Holes are found** where linear terms can be cancelled from the numerator and denominator. In the given function, there are **no holes** .

**Vertical asymptotes** are found when

**Horizontal asymptotes** are related to

For the given function **horizontal asymptote is y = 0**

**Find intercepts:**

Find

**No x-intercepts**

Find

**(0, -1/16)**