Answer
a. $y=\frac{1}{x-3}$
b. $y=\frac{2x}{x-3}$
c. $y=\frac{x-4}{(x-1)(x+1)}$
Work Step by Step
Give an example of a rational function that has vertical asymptote x= 3.
$y=\frac{1}{x-3}$
Now give an example of one that has vertical asymptote x = 3 and horizontal asymptote y=2.
$y=\frac{2x}{x-3}$
Now give an example of a rational function with vertical asymptotes x = 1 and x= -1,
horizontal asymptote y =0, and x-intercept 4.
$y=\frac{x-4}{(x-1)(x+1)}$
