1 .Find these values. a) ⌊1.1⌋    b) ⌈1.1⌉       c) ⌊−0.1⌋         d) ⌈−0.1⌉       e) ⌈2.99⌉          f ) ⌈−2.99⌉

2. Determine whether each of these functions from {a, b, c, d} to itself is one-to-one.

a) f(a) = b, f(b) = a, f(c) = c, f(d) = d

b) f(a) = b, f(b) = b, f(c) = d, f(d) = c

3. Give an example of a function from N to N that is

a) one-to-one but not onto.

b) onto but not one-to-one.

c) both onto and one-to-one (but different from the identity function).

d) neither one-to-one nor onto