# How do you graph f(x)=(x+2)/(x^2+4) using holes, vertical and horizontal asymptotes, x and y intercepts?

Dec 18, 2017

#### Explanation:

The horizontal asymptote is y= 0 because the denominator exponent is larger than the numerator.
There is an x intercept of -2 because the numerator is $\left(x + 2\right)$
there are no vertical asymptotes because the denominator does not factor.
There are no holes, because no two terms cancel eachother out.
The Y intercept is $\frac{1}{2}$, because when you plug 0 in for x in the equation, you get $\frac{2}{4}$ which is $\frac{1}{2}$.