This is the graph of f(x) = c/(x - d) + b. You can alter the values of b, c, and d using the sliders.
1. Keep b and d at one value and change c only. What happens as c is positive and gets larger? When c becomes negative? When c = 0?
2. Now set c to a positive value and keep d = 0. What happens as b is positive and gets larger? When b becomes negative? When b = 0?
3. Now set c to a positive value and keep b = 0. What happens as d is positive and gets larger? When d becomes negative? When d = 0?
Can you make general statements about the curve of the graph and the asymptotes related to b, c, and d?