what is the horizontal asymptote of f(x)=-2x/(x + 1)?\no y=-2\no y=-1\no y=0\no y=1

Answer:

A. $y = - 2$

Explanation:

Step1: Identify degree of polynomials

The numerator $n(x)=-2x$ has degree 1 and denominator $d(x)=x + 1$ has degree 1.

Step2: Use horizontal - asymptote rule

When the degrees of the numerator and denominator are equal, the horizontal asymptote $y$ is the ratio of the leading - coefficients. The leading coefficient of $n(x)$ is $-2$ and of $d(x)$ is $1$. So $y=\frac{-2}{1}=-2$.