Curve Sketching

Abstract

It is often of great use to sketch roughly the graphs of functions which arise in the solution of practical problems; and there are a number of considerations which may give us a very good idea of the general form of a graph, without our having to plot it point by point. We enumerate below some of the more important of these features to look for in an equation, and illustrate in the examples how the graph may be built up from them. Not all of these points are relevant or necessary for every graph, of course, so that not every point is discussed in each of the illustrative examples.