Hermite polynomial graph example

We have developed other ways to specify graphs which are to be created 'on the fly'. All of these new methods consist of adding macro packages to WeBWorK. Since they do not require the core of WeBWorK to be changed, these enhancements can be added by anyone using WeBWorK.

These two piecewise linear graphs were created by specifying the points at the nodes.
Click on the graph to view a larger image.


If the black function is written as , then the orange function would be written as .
This graph was created using a hermite spline by specifying points at
x-4-3-2-101234
y012020.5-212
yp0.110-2012-31

List the internal local minimum points
in increasing order:

You can earn partial credit on this problem.