this is from ross's book elementary analysis: the theory of calculus section 21 #10. i tried reading the section and stuff but it seems like the problems are still hard for me. here are the problems:
show that there exist continuous functions
(a) mapping (0,1) onto [0,1]
(b) mapping (0,1) onto R
(c) mapping [0,1]U[2,3] onto [0,1]
also, can someone give me tips on how i should study for this class? this class is the 2nd quarter of analysis i'm taking, and we are 4 weeks into the class. so i'd read the book and think i understand the material, only to get stumped on the questions... the midterm exam is on next week friday, so i'm getting really anxious... help!