This short assignment is designed to prepare students for multiple choice questions on the AP test that have to do with finding the limit of a piecewise function that contains a hole. There are four problems in which students first graph the function then find a limit. Two problems need to be factored first. Then there are eight problems in which students find a value of a constant "a" or "b" for which the piecewise function is continuous. Again, some problems require students to factor first.