Plotting problem 4.mws

1. The Dreadful Domain Doldrums.

Consider the function f(x) = sqrt(1-sqrt(2-sqrt(3-x))) . Begin by defining the function f :

> f:=x->sqrt(1-sqrt(2-sqrt(3-x)));

f := proc (x) options operator, arrow; sqrt(1-sqrt(...

Submission:

Plot f for various ranges of x until you can take a good guess at the domain. Evaluate f at the end-points and just outside the end-points of your conjectured domain. Once you figure out the domain, plot both f and D(f) over this domain. Then explain connections between features of the graph of f and the graph of its derivative.

Submission worksheet: