1. The Dreadful Domain Doldrums.
Consider the function
. Begin by defining the function
:
> f:=x->sqrt(1-sqrt(2-sqrt(3-x)));
Submission:
Plot
for various ranges of
until you can take a good guess at the domain. Evaluate
at the end-points and just outside the end-points of your conjectured domain. Once you figure out the domain, plot both
and
over this domain. Then explain connections between features of the graph of
and the graph of its derivative.
Submission worksheet: