Answer
$f(x)=-\frac{2x-1}{x-2}$ matches the graph labeled (a)
Work Step by Step
The vertical asymptote is:
$x-2=0$
$x=2$
The x-intercept:
$f(x)=-\frac{2x-1}{x-2}=0$.
$2x-1=0$
$x=\frac{1}{2}$
The graph passes through $(\frac{1}{2},0)$
The degree of the denominator is equal to the degree of the numerator. The horizontal asymptote is the ratio of the leading coefficients:
$y=\frac{-2}{1}=-2$
