I'm building a program that does 2D graphing, and was wondering: How can I determine the default zoom level and x/y extents to display on screen, in such a way as to maximise the 'interesting' parts of a function that are shown?
"Interesting parts" would include:
- Parts of the space where you can actually see the function,
- and anything else that helps understand what the function looks like and what it does.
I am not necessarily looking for a perfect solution, just something that works well for most common cases, hopefully without having to solve the equation the user entered.
Is there a general method I can use? Or a book/reference that might help? Thanks!