# How do you identify all horizontal and slant asymptote for #f(x)=2+5/(x^2+2)#?

##### 1 Answer

Dec 20, 2016

#### Answer:

y = 2.

#### Explanation:

As # x to +-oo, y to 2. So,

y = 2 is the horizontal asymptote.

y-intercept (x = 0 ) is the maximum y, 4.5

Thus,

graph{(x^2+2)(y-2)-5=0 [-20, 20, -10, 10]}