Could someone please help me with the second part of this problem and check my work for part three. I think my work for part one is OK

Pease state all definitions and thewents that you will need Defines 1.4. 1 let / D . R. We say that / is uniformity continuous on D if for every s : 0 there exists a 8 2 0 ucch that /(e) - ()| 0 and choose o = 's Then, if a, y c [2, 5) and Ja - y) 0, leta ... and y ... . Then, if a, y c (0, 2) and la - v = ... > 0 and choose o . Then, If a, y ( [0, 4) and (a - v)