Question

Suppose a function is defined as f(x) = [(x+a)(x+b)] divided by [(x+c)(x+d)]. What are its zeros, asymptotes, and holes? Now write a rational function with numbers instead of a, b, c, and d. Give the function's zeros, asymptotes, and holes. (Note that more than one rational function can have the same zeros, asymptotes, and holes. Therefore, many answers to this question are possible.)