Question

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

Answer 1

y = 2.

Explanation:

`y> 2`

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, `y in (2,4.5]`.

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