# How do you find the asymptotes for #(2x-4)/(x^2-4)#?

##### 1 Answer

Dec 16, 2015

H.A. @

V.A. @

No S.A.

#### Explanation:

**The rules for horizontal asymptotes:**

- When the degree of the numerator is
**greater**than the degree of the denominator, there is**no horizontal asymptote.** - When the degree of the numerator is the
**same**as the degree of the denominator, there is a horizontal asymptote**at**#x=0# - When the degree of the numerator is
**less**that the degree of the

denominator, there is a horizontal asymptote at the**quotient of the leading coefficients.**

Because the denominator is bigger, there is a horizontal asymptote at

**The rule for vertical asymptotes:**

- There is a vertical asymptote at any value that will cause the function to be undefined.

Because

**The rule for vertical asymptotes:**

- When the degree of the numerator is exactly
#1# more than the degree of the denominator, there is a slant asymptote at the quotient of the numerator and the denominator. (You have to divide the top by the bottom)

Because the denominator is greater, there is no slant asymptote.