In this lecture you will learn to master Curve Sketching in Calculus. Professor Switkes will walk you through a checklist of Collecting Information starting with Domain, Range, and Intercepts. You will then see how properties such as Symmetry Properties (Even Symmetry, Odd Symmetry, Periodic Symmetry) and Asymptotes (Vertical Asymptotes, Horizontal Asymptotes, Slant Asymptotes) affect the end sketch. You will finish by investigating the Critical Points, Intervals (Increasing Intervals, Decreasing Intervals), Inflection Points, Concavity (Concave Up, Concave Down), Minima, and Maxima.
these problems take a significant amount of time and care!
Start by looking
at the domain, range, intercepts, and asymptotes. Mark these on
Find the critical
points and mark these on your graph.
Finally, look at
slope and concavity information. Use this information to sketch the
graph by filling things in between the points you already have
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.