1. Let E = {0, 2, 3, 4, 5} and F = {2, 4, 6}, and define relations V and W from E to F as follows: (16)

W= {(x, y) | x < y 2}.

a. Use set-roster notation to write E F. b. Give the set roster notation for relation W

c. Draw the arrow diagram for the relation W. d. Determine whether the relation W is a function from E to F. Justify your answer.

2. Evaluate the following functions. (12)

a. (floor)-2.5 = ______ b.(ceil)3.6 = ______ c. (ceil)5.0 = ______

d. (floor)7.2 = ______ e.(floor)-10.0 = _____ f.(ceil)-6.8 = ______