Sketching Curves / MATH201
Copyright © 2002–2013 by Stan Brown, Oak Road Systems
Your textbook summarizes most of your tools for
What makes my summary any different? It’s in the order you’d actually
check these things, not just the order they happen to be in the book;
and it shows specific page numbers, not just section numbers.
Use these techniques to sketch a graph of a function:
- transformations from a function with a known graph
- domain and range
- asymptotes: vertical, horizontal, and slant
- leading coefficient test for polynomial, or infinite limits at infinity for any function
- regions where function is increasing or decreasing
- relative extrema
- concavity and points of inflection
You won’t use all of these techniques for every function, but see
where your investigation takes you.
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