Question

what is the horizontal asymptote of $f(x)=\frac{-2x}{x + 1}$?
$\circ$ $y = -2$
$\circ$ $y = -1$
$\circ$ $y = 0$
$\circ$ $y = 1$

Explanation:

Step1: Identify degree of numerator/denominator

Degree of numerator $-2x$ is 1; degree of denominator $x+1$ is 1.

Step2: Apply horizontal asymptote rule

When degrees are equal, asymptote is ratio of leading coefficients: $\frac{-2}{1} = -2$.

Answer:

$y=-2$