Notes: (1) “Discuss the continuity of …” means: Determine, with proof, at which points the indicated function is/isn’t continuous. (2) Problem #7 can be done from scratch, but can be done more efficiently by using the result of #3 (once you’ve done #3). (3) In #16, to use Rosenlicht’s hint you have to prove that both halves of the hint are true. Note that in general a continuous function f from one metric space to another need not carry closed sets to closed sets. (For an example, see the handout in part C of this assignment, Example 2a.) To use the Rosenlicht’s hint, part of what you have to figure out is why the f in this problem does carry closed sets to closed sets.