Based only on the vertical asymptotes, which of the following graphs could be the graph of the given function? $f\(\left\)(x\(\right\))=\(\frac{x^2-4x}{x^2-x-12}\)$

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of each rational function. g(x)=(x−3)/(x²−9)

Work each problem. Choices A–D below show the four ways in which the graph of a rational function can approach the vertical line x=2 as an asymptote. Identify the graph of each rational function defined in parts (a) – (d). $\text{ƒ}\left(x\right)=-1/(x-2{)}^2$

Graph each rational function. ƒ(x)=(2x+1)/(x²+6x+8)

Sketch the graph of the function $f\(\left\)(x\(\right\))=\(\frac{1}{x^2}\)$. Identify the asymptotes on the graph.

Find all vertical asymptotes and holes of each function.

$f\(\left\)(x\(\right\))=\(\frac{-5x}{\left(2x-3\right)^2}\)$

Find all vertical asymptotes and holes of each function.

$f\(\left\)(x\(\right\))=\(\frac{x^2-2x}{2x^3-x^2-6x}\)$

Find all vertical asymptotes and holes of each function.

$f\(\left\)(x\(\right\))=\(\frac{x^2+10x+25}{2x^2+8x-10}\)$

Find the horizontal asymptote of each function.

$f\(\left\)(x\(\right\))=\(\frac{-5x}{\left(2x+3\right)^2}\)$