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

##### 1 Answer

Apr 15, 2017

Vertical asymptotes at

Horizontal asymptote at

No holes, no x-intercepts

#### Explanation:

Rational equation

Factor both the numerator and denominator:

**Find x-intercepts**

There are no factors in the numerator.

**Find holes:**

Holes occur when factors can be cancelled because they are found both in the numerator and denominator. This does not occur in this problem.

**Find the vertical asymptotes**

Vertical asymptotes at

**Find horizontal asymptotes**

graph{1/(x^2-2x) [-10, 10, -5, 5]}