MATH 1004 Study Guide - Final Guide: Asymptote, The Sketch, Maxima And Minima
graycheetah603 and 38165 others unlocked
39
MATH 1004 Full Course Notes
Verified Note
39 documents
Document Summary
Math 1004 - a complete procedure for curve sketching. Assume you are being asked to sketch the curve (). The following is a series of steps you should follow to achieve this. Note that this procedure is in a slightly di erent order than what was done in class. This procedure is better to apply universally, and is complete: intercepts. -intercept: set = 0, then solve for . -intercept: set = 0, then solve for : vertical asymptotes. For all values (call them ) that make the function unde ned, take the limit: lim. Do this for all (it is possible to have more than one that makes unde ned! Every whose limit goes to + or corrresponds to a vertical asymptote: horizontal asymptotes. If this limit converges to a nite value, then you have a horizontal asymptote at that value: critical points.