Which of the following statements are true for $f(x)=\frac{x^{2}-25}{x^{2}+4 x}$ ? Mark all that apply.
A) There is a horizontal asymptote at $y=1$.
B) There are horizontal asymptotes at $y=-5$ and 5 .
C) There are no horizontal asymptotes.
D) There is a vertical asymptote at $x=1$.
E) There are vertical asymptotes at $x=0$ and -4 .
F) There are no vertical asymptotes.

Question

Quizplus · Accepted Answer

The horizontal asymptote is $y=1$ because $\lim_{x\to\infty}f(x)=\lim_{x\to-\infty}f(x)=1$. The vertical asymptotes are $x=0$ and $x=-4$ because $f(x)$ is undefined at these values.

Which of the Following Statements Are True For f(x)=x2−25x2+4xf(x)=\frac{x^{2}-25}{x^{2}+4 x}f(x)=x2+4xx2−25​ ? Mark All That Apply

Which of the Following Statements Are True For $f(x)=\frac{x^{2}-25}{x^{2}+4 x}$ ? Mark All That Apply