# How do you find the domain, identify any horizontal, vertical, and slant (if possible) asymptotes and identify holes, x-intercepts, and y-intercepts for #(x^2-1)/(x^2+4)#?

##### 1 Answer

Domain =

H.A. = 1

V.A. = non

S.A. = non

No Hole

x-int =

y-int =

#### Explanation:

. Domain is all real numbers

.When the degree of denominator is equal to the degree of nominator,

H.A.=

.For rational functions, V.A. are the undefined points (zeros of the

denominator) of the simplified function.

. There are no slant asymptote because there is no V.A.

.There are no holes because there are no common factors in the

nominator and the denominator

.

solve using quadratic formula

.