# How do you find the vertical, horizontal or slant asymptotes for -7 / (x+4)?

Dec 8, 2017

See below.

#### Explanation:

Vertical asymptotes occur where the function is undefined.

$- \frac{7}{x + 4}$

For $x = - 4$ $- \frac{7}{x + 4} = - \frac{7}{0}$ undefined.

The line $\textcolor{b l u e}{x = - 4}$ is a vertical asymptote:

as $x \to \infty$ , $\textcolor{w h i t e}{888} - \frac{7}{x + 4} \to 0$

as $x \to - \infty$ , $\textcolor{w h i t e}{888} - \frac{7}{x + 4} \to 0$

The x axis is a horizontal asymptote:

There is no oblique asymptote. Oblique asymptotes occur when the degree of the polynomial in the numerator is greater than the degree of the polynomial in the denominator.

Graph: