Math Analysis I December 4, 2006 Exam #3 Name: 3 . 399 V49 C5;
Closed books; laptops and calculators are not permitted. You are allowed one sheet of hand-
written notes. 1
1. Dene What it means for a function to be differentiable at 1230. Use the denition
Is F continuous or discontinuous? A: Continuous.
Give examples of continuous functions with domain R:
a. f x such that the image of an open set is not open. A: For example, f x
b. g x such that the image of a closed set is not closed.