Concepts of graphing functions modules
After completing this section, students should be able to do the following.
- Understand what information the derivative gives concerning when a function is increasing or decreasing.
- Understand what information the second derivative gives concerning concavity of the graph of a function.
- Interpret limits as giving information about functions.
- Determine how the graph of a function looks based on an analytic description of the function.
What's the graph look like?
Two young mathematicians discuss how to sketch the graphs of functions.
Concepts of graphing functions
We use the language of calculus to describe graphs of functions.