Questions

1. Explain how to find the vertical asymptotes of a rational function.

2. Explain how to determine horizontal asymptotes.

3. Sketch a graph with x-intercept (3, 0), y-intercept (0 , -2), vertical asymptote x = 2, and horizontal asymptote y = 1.

4. Give an equation of a rational function with vertical asymptotes at x = 3 and x = -4 and a horizontal asymptote of y = 3/4.

5. Give an equation of a rational function that has x-intercepts at (-3, 0) and (3, 0), no vertical asymptotes, y = 0 as horizontal asymptote.