This slide show consists of various graphs of the same function, seen over different domains. Frequently people are under the impression that if "enough points" of a function are plotted, and then joined, the resultant graph accurately portrays the original function. This is the principle used by all computer graphing packages. People are even questioning the wisdom of teaching curve sketching in calculus, because of such packages. The following slide show is designed to display some of the pitfalls of graphing by plotting points, and then joining them. In fact calculus is essential in deciding the accuracy of any graph.